Representations Of Group Research Articles

ATTENTION TO PROBLEMATIC SOCIAL GROUP REPRESENTATION IN GUIDANCE FOR USING MASS MEDIA IN ENGLISH EDUCATION

While media studies amply document problematic social group representation in mass media materials, how English language educators are equipped to address these issues when they engage in the common practice of appropriating such artifacts for teaching is unclear. This research responds by collecting 319 prominent Internet sources providing guidance on using mass media materials for language learning and subjecting them to a content analysis. This analysis draws upon ten forms of problematic social group portrayal in the mass media as a conceptual lens. Analysis results indicate little attention to ableism, ageism, Christonormativity, classism, colorism, gender bias, heternormativity, lookism/sizeism, racism, and urbanormativity with articles universally acclaiming the integration of mass media materials into language teaching, primarily on the grounds of “authenticity.” Defined as materials authored by and for native speakers, this is an authenticity insensitive to authentic social group representation. This research is significant because of teacher reliance on the Internet as a source of materials, because of the global reach of English language teaching, the power of mass media, especially for youth socialization, and because there is a lack of previous research concerning how language teachers are trained to consider problematic social group representation in mass media artifacts.

Sociodemographic and patient reported outcomes by racial and ethnicity status among participants in a randomized controlled trial for methamphetamine use disorder

BackgroundThere has been a significant increase in methamphetamine use and methamphetamine use disorder (Meth UD) in the United States, with evolving racial and ethnic differences. ObjectivesThis secondary analysis explored racial and ethnic differences in baseline sociodemographic and clinical characteristics as well as treatment effects on a measure of substance use recovery, depression symptoms, and methamphetamine craving among participants in a pharmacotherapy trial for Meth UD. MethodsThe ADAPT-2 trial (ClinicalTrials.gov number, NCT03078075; N=403; 69% male) was a multisite, 12-week randomized, double-blind, trial that employed a two-stage sequential parallel design to evaluate the efficacy of combination naltrexone (NTX) and oral bupropion (BUP) vs. placebo for Meth UD. Treatment effect was calculated as the weighted mean change in outcomes in the NTX-BUP minus placebo group across the two stages of treatment. ResultsOf the 403 participants in the ADAPT-2 trial, the majority (65%) reported non-Hispanic White, while 14%, 11% and 10% reported Hispanic, non-Hispanic Black, and non-Hispanic other racial and ethnic categories respectively. At baseline non-Hispanic Black participants reported less severe indicators of methamphetamine use than non-Hispanic White. Treatment effects for recovery, depression symptoms and methamphetamine cravings did not significantly differ by race and ethnicity. ConclusionsAlthough we found racial and ethnic differences at baseline, our findings did not show racial and ethnic differences in treatment effects of NTX-BUP on recovery, depression symptoms and methamphetamine cravings. However, our findings also highlight the need to expand representation of racial and ethnic minority groups in future trials.

Generalized charges, part I: Invertible symmetries and higher representations

qq-charges describe the possible actions of a generalized symmetry on qq-dimensional operators. In Part I of this series of papers, we describe qq-charges for invertible symmetries; while the discussion of qq-charges for non-invertible symmetries is the topic of Part II. We argue that qq-charges of a standard global symmetry, also known as a 0-form symmetry, correspond to the so-called (q+1)(q+1)-representations of the 0-form symmetry group, which are natural higher-categorical generalizations of the standard notion of representations of a group. This generalizes already our understanding of possible charges under a 0-form symmetry! Just like local operators form representations of the 0-form symmetry group, higher-dimensional extended operators form higher-representations. This statement has a straightforward generalization to other invertible symmetries: qq-charges of higher-form and higher-group symmetries are (q+1)(q+1)-representations of the corresponding higher-groups. There is a natural extension to higher-charges of non-genuine operators (i.e. operators that are attached to higher-dimensional operators), which will be shown to be intertwiners of higher-representations. This brings into play the higher-categorical structure of higher-representations. We also discuss higher-charges of twisted sector operators (i.e. operators that appear at the boundary of topological operators of one dimension higher), including operators that appear at the boundary of condensation defects.

The Colonialism and Stereotypes Based on Race and Religion: Representation of Papua in Indonesian Elementary Textbook School

Implementing anti-racist pedagogy in Islamic schools, particularly for Muslim teachers, involves unique challenges. Their behaviour is closely scrutinized, making it crucial to emphasize positive Islamic behaviour, including antiracism efforts, to contribute to a more just society. This research explained the root of racism and equality in Islam. In addition, this research add explanation on how Islamic education has significant role as well as antiracism paedagogy through school text book. School textbooks are effective media for conveying educational messages or values to children. Besides being made as an educational medium, books are also deliberately designed to represent the ideal interests according to their creator, especially books published by the state. The content can undoubtedly describe what is suitable for each country. Through school textbooks, we can look at the state's perspective on ethnicity critically. Based on this, this study will describe the representation of an ethnic group, especially the Papuan ethnic group. This research is not only limited to the study of texts but will try to do interdiscussion with the existing social context. By using Critical Discourse Analysis (CDA) this research will provide a complete picture of how the text is formed and what discourses are present in the formation of the text. The text in this study consisted of 2 related types, namely picture text and narrative text. In addition, this research is necessary because the findings will provide an overview of the content of school textbooks related to how regional representation is described. This is important to note as one of the instruments to build contemporary Indonesian identity especially in the national and Islamic education sector.

Algebra environments II. Algebra homomorphisms and derivations

Algebra environments provide requisites for studying objects of interest in operator algebra theory, group representation theory, spin geometry, Clifford analysis, and several variable operator theory. The concept is analyzed by developing an algebraic geometry approach. Specific algebraic sets, called structure manifolds of algebra environments, and their Zariski tangent spaces are introduced and described by using as critical tools derivations on algebras. Structure manifolds of tensor environments in particular yield spaces of algebra homomorphisms. Consequently, such spaces could be investigated as algebraic manifolds. Related issues include characterizations of their Zariski tangent spaces and of derivations that preserve algebra homomorphisms.

A service-oriented approach to clinical trial recruitment for dementia and brain health: Methods and case examples of MyAlliance for Brain Health.

Recruitment of sufficient and diverse participants into clinical research for Alzheimer's disease and related dementias remains a formidable challenge. The primary goal of this manuscript is to provide an overview of an approach to diversifying research recruitment and to provide case examples of several methods for achieving greater diversity in clinical research enrollment. The University of Kansas Alzheimer's Disease Research Center (KU ADRC) developed MyAlliance for Brain Health (MyAlliance), a service-oriented recruitment model. MyAlliance comprises a Primary Care Provider Network, a Patient and Family Network, and a Community Organization Network, each delivering tailored value to relevant parties while facilitating research referrals. We review three methods for encouraging increased diversity in clinical research participation. Initial outcomes reveal an increase in underrepresented participants from 17% to 27% in a research registry. Enrollments into studies supported by the research registry experienced a 51% increase in proportion of participants from underrepresented communities. MyAlliance shifts power, resources, and knowledge to community advocates, promoting brain health awareness and research participation, and demands substantial financial investment and administrative commitment. MyAlliance offers valuable lessons for building sustainable, community-centered research recruitment infrastructure, emphasizing the importance of localized engagement and cultural understanding. MyAlliance led to a significant increase in the representation of underrepresented racial and ethnic groups and individuals from rural areas.The service-oriented approach facilitated long-term community engagement and trust-building, extending partnerships between an academic medical center and community organizations.While effective, MyAlliance required substantial financial investment, with costs including infrastructure development, staff support, partner organization compensation, and promotional activities, underscoring the resource-intensive nature of inclusive research recruitment efforts.

Realization of unitary representations of the Lorentz group on de Sitter space

This paper builds on our previous work in which we showed that, for all connected semisimple linear Lie groups G acting on a non-compactly causal symmetric space M=G/H, every irreducible unitary representation of G can be realized by boundary value maps of holomorphic extensions in distributional sections of a vector bundle over M. In the present paper we discuss this procedure for the connected Lorentz group G=SO1,d(R)e acting on de Sitter space M=dSd. We show in particular that the previously constructed nets of real subspaces satisfy the locality condition. Following ideas of Bros and Moschella from the 1990’s, we show that the matrix-valued spherical function that corresponds to our extension process extends analytically to a large domain Gℂcut in the complexified group Gℂ=SO1,d(ℂ), which for d=1 specializes to the complex cut plane ℂ∖(−∞,0]. A number of special situations is discussed specifically: (a) The case d=1, which closely corresponds to standard subspaces in Hilbert spaces, (b) the case of scalar-valued functions, which for d>2 is the case of spherical representations, for which we also describe the jump singularities of the holomorphic extensions on the cut in de Sitter space, (c) the case d=3, where we obtain rather explicit formulas for the matrix-valued spherical functions.

Parameters of Hecke algebras for Bernstein components of [formula omitted]-adic groups

Let G be a reductive group over a non-archimedean local field F. Consider an arbitrary Bernstein block Rep(G)s in the category of complex smooth G-representations. In earlier work the author showed that there exists an affine Hecke algebra H(O,G) whose category of right modules is closely related to Rep(G)s. In many cases this is in fact an equivalence of categories, like for Iwahori-spherical representations.In this paper we study the q-parameters of the affine Hecke algebras H(O,G). We compute them in many cases, in particular for principal series representations of quasi-split groups and for classical groups.Lusztig conjectured that the q-parameters are always integral powers of the cardinality of the residue field of F, and that they coincide with the q-parameters coming from some Bernstein block of unipotent representations. We reduce this conjecture to the case of absolutely simple p-adic groups, and we prove it for most of those.

ALGEBRA ENVIRONMENTS I.

Algebra environments capture properties of non–commutative conditional expectations in a general algebraic setting. Their study relies on algebraic geometry, topology, and differential geometry techniques. The structure algebraic and Banach manifolds of algebra environments and their Zariski and smooth tangent vector bundles are particular objects of interest. A description of derivations on algebra environments compatible with geometric structures is an additional issue. Grassmann and flag manifolds of unital involutive algebras and spaces of projective compact group representations in C∗–algebras are analyzed as structure manifolds of associated algebra environments.

Local Galois representations associated to additive polynomials

For an additive polynomial and a positive integer, we define an irreducible smooth representation of a Weil group of a non-archimedean local field. We study several invariants of this representation. We obtain a necessary and sufficient condition for it to be primitive.

Multiplier systems for Siegel modular groups

Deligne proved in [Extensions centrales non résiduellement finies de groupes arithmetiques, C. R. Acad. Sci. Paris 287 (1978) 203–208] (see also 7.1 in [R. Hill, Fractional weights and non-congruence subgroups, in Automorphic Forms and Representations of Algebraic Groups Over Local Fields, eds. H. Saito and T. Takahashi, Surikenkoukyuroku Series, Vol. 1338 (2003), pp. 71–80]) that the weights of Siegel modular forms on any congruence subgroup of the Siegel modular group of genus [Formula: see text] must be integral or half integral. Actually he proved that for a system [Formula: see text] of complex numbers of absolute value 1 [Formula: see text] can be an automorphy factor only if [Formula: see text] is integral. We give a different proof for this. It uses Mennicke’s result [Zur Theorie der Siegelschen Modulgruppe, Math. Ann. 159 (1965) 115–129] that subgroups of finite index of the Siegel modular group are congruence subgroups and some techniques from [Solution of the congruence subgroup problem for [Formula: see text] and [Formula: see text], Publ. Math. Inst. Hautes Études Sci. 33 (1967) 59–137] of Bass–Milnor–Serre.

Effective interventions to increase representation of under-served groups in randomised trials in UK and Ireland: a scoping literature review.

Participants in clinical trials often do not reflect the populations that could benefit from the treatments being investigated. There are known barriers to trial participation for under-served groups, but limited evidence on strategies to alleviate these barriers to improve representation. This scoping review aimed to identify effective interventions and design features that improve the representation `of under-served groups in trials, focusing on the UK and Ireland. We included methodological research studies that reported interventions to improve representation of ethnic minority groups, socioeconomically disadvantaged groups, older people, or those with impaired capacity to consent to randomised controlled trials, conducted in the UK and Ireland, published between 2000-2021. Systematic searches were conducted in November 2021 and data were independently extracted by two authors and narratively synthesised. Seven studies were included: one randomised controlled study embedded in five trials, one mixed-methods study, and five studies reporting 'lessons learnt' from one trial. We categorised the 47 reported interventions or strategies into nine broad themes: Recruitment sites, recruitment settings, community engagement, and communication with participants, incentives, inclusion criteria, flexibility, patient documentation, and the consent process. Only 28/47 interventions were evaluated, 23 of which were comparison of recruitment pathways.The randomised study found that a £100 incentive mentioned in the invitation letter increased positive responses overall across drug trials in cardiovascular disease and hypertension, but not for older people or those living in the most deprived areas. Invitation letters via GPs and working with communities were reported as successful recruitment pathways in recruiting different under-served populations. Interventions aiming to improve the recruitment of under-served groups in the UK and Ireland were reported across seven papers, but their effectiveness was rarely rigorously evaluated. Included studies were context specific. Using a variety of recruitment methods is likely to help achieve a more diverse cohort.

Some Infinite-Dimensional Representations of Certain Coxeter Groups

Some Infinite-Dimensional Representations of Certain Coxeter Groups

Towards Fairer Centroids in K-means Clustering

There has been much recent interest in developing fair clustering algorithms that seek to do justice to the representation of groups defined along sensitive attributes such as race and sex. Within the centroid clustering paradigm, these algorithms are seen to generate clusterings where different groups are disadvantaged within different clusters with respect to their representativity, i.e., distance to centroid. In view of this deficiency, we propose a novel notion of cluster-level centroid fairness that targets the representativity unfairness borne by groups within each cluster, along with a metric to quantify the same. Towards operationalising this notion, we draw on ideas from political philosophy aligned with consideration for the worst-off group to develop Fair-Centroid; a new clustering method that focusses on enhancing the representativity of the worst-off group within each cluster. Our method uses an iterative optimisation paradigm wherein an initial cluster assignment is refined by reassigning objects to clusters such that the worst-off group in each cluster is benefitted. We compare our notion with a related fairness notion and show through extensive empirical evaluations on real-world datasets that our method significantly enhances cluster-level centroid fairness at low impact on cluster coherence.

Group Self‐Interest vs. Equity: Explaining Support for Horizontal Redistribution in (Former) Competitive Clientelist States

Extant literature links intergroup disparities, or horizontal inequalities, in Sub‐Saharan Africa to the unequal representation of ethnic groups in central power, who accumulate wealth at the expense of politically marginalized groups. Over time, these politically‐induced inequalities have trapped some ethnic groups in positions of relative disadvantage. Group‐based, or horizontal, redistribution can help redress these inequalities yet require popular support if they are not to contribute to intergroup tensions. In this article, we examine how people’s experiences of political exclusion, on the one hand, and their attributional beliefs about the causes of political exclusion, on the other, condition support for government policies aimed at eradicating economic inequalities between different ethnic groups. We argue that people are more likely to be supportive of horizontal redistribution either when (H1a) they belong to ethnic groups that have not had access to central power, and/or (H1b) feel that their ethnic group is politically marginalized (and thus stands to gain); or when (H2) they attribute the political exclusion of the politically marginalized group(s) that stand(s) to benefit from these policies to the legacies of colonialism and clientelism (thus seeking to foster equity). To test our hypotheses, we examine these issues in the context of Kenya, a society with politically salient ethnic cleavages and a history of clientelism. Based on a unique online survey involving 2,286 Kenyans, we show that, notwithstanding group self‐interest being at play, there is strong support for horizontal redistribution across groups.

Integrating gender expertise into the Canadian Armed Forces: challenges for change agents and culture change.

Gender Advisors (GENADs) have played a key role in the efforts of military organizations worldwide to integrate gender perspectives, and culture change, within the defence and security context. Military organizations, however, continue to face challenges in regard to diversity and inclusion, including limited representation of women and other diverse groups who do not fit the white male, masculine stereotype, and subtle and overt expressions of prejudice and stigma towards under-represented and marginalized groups. In such an organizational context, the integration of gender perspectives has faced challenges, and transformative culture change has remained elusive. In particular, the experience of GENADs suggests that there may be unique challenges to serving as "gender experts" within military organizations. This paper, therefore, examines the lived experience of GENADs within the context of military organizations, as illustrated by GENADs in the Canadian Armed Forces. We consider two qualitative studies on the lived experience of GENADs and focus on the shared theme of legitimacy of gender expertise at both individual and systemic levels. This analysis highlights challenges that gendered power relations may pose for GENADs as individual change agents, and for systemic, transformative culture change, within existing military organizations, while reaffirming the importance of understanding the lived experience of GENADs in their pursuit of more equitable institutional and operational outcomes. Using social-psychological theories of tokenism, we consider more broadly what it means to be the gender person within masculinized military organizations and conclude with reflections on the potential contours of transformative culture change within the military context.

Positive Representations with Zero Casimirs

In this paper, we construct a new family of generalization of the positive representations of split-real quantum groups based on the degeneration of the Casimir operators acting as zero on some Hilbert spaces. It is motivated by a new observation arising from modifying the representation in the simplest case of Uq(sl(2,R))\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\mathcal {U}_q(\\mathfrak {sl}(2,\\mathbb {R}))$$\\end{document} compatible with Faddeev’s modular double, while having a surprising tensor product decomposition. For higher rank, the representations are obtained by the polarization of Chevalley generators of Uq(g)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\mathcal {U}_q(\\mathfrak {g})$$\\end{document} in a new realization as universally Laurent polynomials of a certain skew-symmetrizable quantum cluster algebra. We also calculate explicitly the Casimir actions of the maximal An-1\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$A_{n-1}$$\\end{document} degenerate representations of Uq(gR)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\mathcal {U}_q(\\mathfrak {g}_\\mathbb {R})$$\\end{document} for general Lie types based on the complexification of the central parameters.

Gauge-independent transition separating confinement and Higgs phases in lattice SU(2) gauge theory with a scalar field in the fundamental representation

According to the preceding studies, the lattice SU(2) gauge-scalar model with a single scalar field in the fundamental representation of the gauge group has a single confinement-Higgs phase where confinement and Higgs regions are subregions of an analytically continued single phase and there are no thermodynamic phase transitions, which is a well-known consequence of the Osterwalder-Seiler-Fradkin-Shenker theorem. In this paper, we show that we can define new types of gauge-invariant operators by combining the original fundamental scalar field and the so-called color-direction field which is obtained by change of field variables based on the gauge-covariant decomposition of the gauge field due to Cho-Duan-Ge-Shabanov and Faddeev-Niemi. By performing the numerical simulations on the lattice without any gauge fixing, we reproduce the conventional thermodynamic transition line in the weak gauge coupling, and moreover we find a new transition line detected by the new gauge-invariant operators which separates the confinement-Higgs phase into two parts, confinement phase and the Higgs phase, in the strong gauge coupling. All results are obtained in the gauge-independent way, since no gauge fixing has been imposed in the numerical simulations. Moreover, we discuss a physical interpretation for the new transition from the viewpoint of the realization of a global symmetry. Published by the American Physical Society 2024

3d super hyperbolic geometry

Wigner's unitary representation of the Lorentz group is extended to a representation of the complex orthosymplectic Lie super group OSpC(1|2) acting on Minkowski (3,1|4)-dimensional super space essentially by Hermitean conjugation. The invariant quadratic form is x1x2−xx¯+ϕψ+ϕ¯ψ¯ in Wigner's coordinates x1,x2∈R and x∈C, where ϕ,ψ are Dirac fermions. The extended action is linear in the super space variables, but not quadratic in the odd group variables, and is described by an explicit even purely imaginary auxiliary parameter defined on the product of the Lie super group with its Lie algebra. This extension of Wigner's representation opens the door to studying geometry in super hyperbolic three-space with this metric, initiated here with foundations on super geodesics, triangles and tetrahedra, and culminating in a proof of divergence of the volume of a typical ideal tetrahedron and a discussion of the non-zero fermionic correction to the Schläfli formula.

The Impact of Covid-19 in Liberia: A Case Study of Monrovia (January 2020-December 2023)

 Background: In 130 years, there have been five pandemics related to coronavirus (Maital, 2020). An epidemic of mysterious pneumonia was characterized by dry cough, fever, and body fatigue in late December 2019(Wu et al., 2020). The situation posed additional risks and challenges to the populace, increasing physical illness (Kmetty, 2020). The spread of COVID-19 across Africa created a considerable impact ranging from economic cybertage, starvation, and educational setbacks (Webmaster, 2020). The COVID-19 pandemic occurred in Liberia five years after ebola and during the Resilient and Responsive Health Systems (RRHS) designed to support Liberia's national health workforce to improve health outcomes (Marsh et al., 2021).  Methodology: The research used a descriptive case study design to explain concepts, policies, and tools related to identified problems. Since the impact of COVID-19 reflects not only on survival but also on relatives, the research considered the population of Monrovia. Monrovia's current metro area population in 2023 is 1,678,000(Macrotrends, 2023). The study considered Liberia the main case, with Monrovia and Montserrado County as specific Sub-cases. The purposive sampling technique was used to ensure the representation of various socio-economic groups, including urban and rural areas and different regions within Monrovia. The research used a 95% CI and Slovins's formula to derive a sample size of 400. Questionnaires were used to collect field data. The data herein includes documentary analysis, interviews/surveys, and observations. The data was analyzed using SPSS and narratives of qualitative findings.  Findings: This data suggests that a large portion of the population has been affected by job loss or reduced employment opportunities due to the pandemic. Overall, the data reflects the widespread impact of the COVID-19 pandemic on the employment status of individuals in Liberia.  Recommendations: The study proposes improvements to Liberia's public health sector, including better risk-benefit policies, salary increments, and training/deployment of healthcare professionals.