Representation Theory Research Articles

Original sin or natural order: Dialogical construction of social knowledge of animal production

AbstractThis research examines the public discussion around animal production in Finland. Applying a dialogical approach to social representations theory, we elucidate the hotly debated nature of animal production by analysing news articles (N = 50) and the related reader‐produced comments (N = 1501) in Finnish newspapers. We employed qualitative methods for analysing multivoicedness and dialogue to identify ego–alter pairs constructed in the material in relation to the object of animal production. Four prevalent ego–alter pairs were identified: advocates for animal rights–animal production defenders, producers–consumers, orthodox–unorthodox Christians and provincials–urban dwellers. The study contributes to the study of everyday knowledge by showing how various contradictory understandings of the same topic are generated in public discourse. The research also demonstrates how the theoretical concept of ego–alter embedded in the social representations theory can be empirically utilised in analysing debates in contemporary media environments and to shed light on the dialogical dynamics around the discussions.

Representasi Mitos dan Ideologi Perempuan dalam Film Televisi Suara Hati Istri

The presence of media in various forms ranging from television to social media in the internet era cannot completely change the position of women who are stereotyped in a bad way. For example, women in the household are represented in the media as a group that is weak, powerless, and unable to determine their own future. This research uses qualitative research with a critical paradigm which is part of media studies and cultural studies. The data collection method was carried out by observing the text of the FTV Voice of the Wife's Heart "The Hardness of Being a Wife Under the Shadow of Her Husband's Family." The data analysis method uses mass media text analysis, namely Roland Barthes' semiotics and Gill Branston and Roy Stafford's theories of questions and representation. This research concludes that FTV Voice of the Wife's Heart, represents the culture that has long been ingrained that a wife should not be better than her husband. A successful wife. The meaning of the myth is that a wife will not be successful and successful without the support of a husband. As a family leader, a husband must be smarter and more successful than his wife. The ideology that is built is the domination of patriarchal power over women. This patriarchal ideology absolutely recognizes that a husband is the leader of his wife. The power of this patriarchal ideology restricts women's freedom to be able to build a business or have a career in the public sphere because wives are only considered to be working in the domestic sphere.

Perception's objects, border, and epistemic role: Comments on Christopher Hill's Perceptual experience

Christopher Hill's book Perceptual experience argues for a representational theory of mind that is grounded in empirical psychology. I focus here on three aspects of Hill's picture: The objects of visual awareness, the perception/cognition border, and the epistemic role of perceptual experience. I introduce challenges to Hill's account and consider ways these challenges may be overcome.

Exploration of the ground state properties of neutron-rich sodium isotopes using the deformed relativistic mean field theory in complex momentumrepresentations with BCS pairings* *Partly supported by the National Natural Science Foundation of China (11935001, 11575001), the Natural Science Foundation of Anhui Province (2008085MA26), Anhui project (Z010118169), the Heavy Ion Research Facility in Lanzhou (HIRFL) (HIR2021PY007), and the project of Key

This study explores the ground-state characteristics of neutron-rich sodium isotopes, encompassing two-neutron separation energies, root-mean-square radii, quadrupole moments of proton and neutron distributions, single-particle levels of bound and resonant states, and neutron density distributions and shapes. Simultaneously, special attention is paid to the distinctive physical phenomena associated with these isotopes. The deformed relativistic mean field theory in complex momentum representations with BCS pairings (DRMF-CMR-BCS) employed in our research provides resonant states with real physics, offering insights into deformed halo nuclei. Four effective interactions (NL3, NL3*, PK1, and NLSH) were considered to assess the influence of continuum and deformation effects on halo structures. Calculations for odd-even nuclei 35–43Na revealed the dependence on the chosen effective interaction and number of considered resonant states. Neutron occupation patterns near the Fermi surface, particularly in orbitals and , were determined to be crucial in halo formation. The study provided detailed insights into the density distributions, shape evolution, and structure of neutron-rich sodium isotopes, contributing valuably to the field of nuclear physics.

Degenerating products of flag varieties and applications to the Breuil–Mézard conjecture

We consider closed subschemes in the affine grassmannian obtained by degenerating e-fold products of flag varieties, embedded via a tuple of dominant cocharacters. For G=GL2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$G= {\ ext {GL}}_2$$\\end{document}, and cocharacters small relative to the characteristic, we relate the cycles of these degenerations to the representation theory of G. We then show that these degenerations smoothly model the geometry of (the special fibre of) low weight crystalline subspaces inside the Emerton–Gee stack classifying p-adic representations of the Galois group of a finite extension of Qp\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$${\\mathbb {Q}}_p$$\\end{document}. As an application we prove new cases of the Breuil–Mézard conjecture in dimension two.

Insights into Young Adults’ Views on Long-term and Short-term Romantic Relationships in the United Kingdom

Social progressions such as the feminist movement and technological advances may have influenced the way young adults perceive romantic relationships. Although long-term relationships are traditionally viewed favorably in society, short-term relationships are becoming more popular in recent years. It’s important to understand the common perceptions of romance among young adults because it affects their partner choices and expectations. While experts can define the concepts of long-term and short-term relationships, we believe the most reliable method is to ask young adults directly. Therefore, we collected data from 229 self-reported British nationals aged between 18 and 33 (M = 19.66; SD = 2.72) to understand their perceptions of long-term and short-term romantic relationships. We asked them to write down the words or phrases that come to mind when they think of these concepts. Using the structural approach of the theory of social representation, we analyzed the values and norms of young British adults regarding these concepts. Based on our study, we observed four important things. Firstly, short-term relationships (STRs) are associated with “fun”, “excitement”, and “passion”, while long-term relationships (LTRs) are associated with “love”, “commitment”, “trust”, and “loyalty”. Secondly, while sex is important in romantic relationships, it’s only a peripheral component of STRs and not a significant factor in LTRs. Thirdly, both those in relationships and single individuals agree that “fling” and “passion” are primary aspects of STRs, but those in relationships tend to use the term “fun,“ while single individuals use “exciting” to describe STRs. Lastly, “love”, “trust”, and “commitment” are essential elements in LTRs for both single individuals and those in relationship. However, individuals in relationships also value loyalty as a critical aspect of romantic relationships.

Semigroup theory and analysis of solutions for a higher order non‐Lipschitz problem with advection in ℝN$$ {\mathrm{\mathbb{R}}}^N $$

In studying heterogeneous diffusion phenomena beyond the classical order 2 Laplacian, higher order operators emerge as powerful tools. When such operators are applied, the resultant profiles often showcase an oscillatory nature that may be noticeable near the zero stationary solution. These oscillations can pose challenges, especially when they negate the compactness of the support for initial distributions that are both smooth and possess compact support. The presented analysis in this work seeks to delve into the nature of solutions within open finite domains, with an ambition to scale up the findings to the realm of through the use of an extension operator. The foundation for establishing the existence and uniqueness of these solutions leans on the semigroup representation theory. Asymptotic solutions have been carved out via the Hamilton–Jacobi transport equation. To cement the theoretical foundation, numerical simulations have been incorporated shedding light on the accuracy of our initial assumptions within the asymptotic framework.

Automorphic spectra and the conformal bootstrap

We describe a new method for constraining Laplacian spectra of hyperbolic surfaces and 2-orbifolds. The main ingredient is consistency of the spectral decomposition of integrals of products of four automorphic forms. Using a combination of representation theory of P S L 2 ( R ) \mathrm {PSL}_2(\mathbb {R}) and semidefinite programming, the method yields rigorous upper bounds on the Laplacian spectral gap. In several examples, the bound is nearly sharp. For instance, our bound on all genus-2 surfaces is λ 1 ≤ 3.8388976481 \lambda _1\leq 3.8388976481 , while the Bolza surface has λ 1 ≈ 3.838887258 \lambda _1\approx 3.838887258 . The bounds also allow us to determine the set of spectral gaps attained by all hyperbolic 2-orbifolds. Our methods can be generalized to higher-dimensional hyperbolic manifolds and to yield stronger bounds in the two-dimensional case. The ideas were closely inspired by modern conformal bootstrap.

Can't Believe It Went By So Fast

This autobiographical sketch starts with my arrival as a PhD student at UCLA in 1965. It focuses on the most prominent line of my intellectual development, from work in Priorean tense logic for my dissertation and essays intended to fit within the framework of Montague Grammar to the discourse-oriented framework of Discourse Representation Theory (DRT) and eventually to the unequivocally cognitive approach of Mental State Discourse Representation Theory (MSDRT), which is the core of my present view and work.

Testing Right Frontier Constraint on Edgar Allan Poe's The Raven

This paper focuses on Edgar Allan Poe's The Raven as a case study to examine the narrator's conscious experiences and the challenges of interpreting coherence relations within this domain. It examines the concept of Right Frontier Constraint (RFC) from the Segmented Discourse Representation Theory (SDRT) and discusses its relevance in the context of The Raven. It further addresses the challenge of clarifying poetical effects through the lens of coherence relations and acknowledges the diversity of reader responses. This paper draws from the work of various researchers who have explored discourse segmentation and coordination, and applies global and micro analysis to further examine the themes of The Raven, and Poes use of poetical effect through the poems ambiguity and symbolism. The aim of this paper is to elucidate the intricate web of coherence relations within literary works such as The Raven while also offering potential avenues for future research to probe into the interpretation of coherence relations in conscious experiences.

Chern-Simons theory, Ehrhart polynomials, and representation theory

The Hilbert space of level q Chern-Simons theory of gauge group G of the ADE type quantized on T2 can be represented by points that lie on the weight lattice of the Lie algebra g up to some discrete identifications. Of special significance are the points that also lie on the root lattice. The generating functions that count the number of such points are quasi-periodic Ehrhart polynomials which coincide with the generating functions of SU(q) representation of the ADE subgroups of SU(2) given by the McKay correspondence. This coincidence has roots in a string/M theory construction where D3(M5)-branes are put along an ADE singularity. Finally, a new perspective on the McKay correspondence that involves the inverse of the Cartan matrices is proposed.

On non-regular semigroups: $\lambda$-semidirect products, Zappa-Szép products and representations

This article encompasses the study of non-regular semigroups. First, we show that the $\lambda$-semidirect product $M \rtimes^{\lambda} W$ of a left $P$-Ehresmann semigroup $M$ and a left restriction semigroup $W$ is a left $P$-Ehresmann semigroup. We explore the behavior of generalized Green's relations on $M \rtimes^{\lambda} W$, and investigate some properties of $M \rtimes^{\lambda} W$. Second, the Zappa-Szép product of a right Ehresmann semigroup and its distinguished semilattice is studied. Lastly, the theory of representations of left Ehresmann semigroups with zero via homomorphisms of left Ehresmann semigroups with zero into Clifford restriction semigroups with zero is presented.

Facebook and social representations of Filipino migrant life in Germany: a reflexive computational approach

Computational approaches have grown in prominence amidst advancements in new media and technologies and ever-increasing amounts of digital data. This article critically examines these automated techniques, especially the analytical affordances and concerns that such methods introduce to the study of online migrant and mobility discourses. The paper further argues for a mixed methodology anchored on social representations theory—a contextually sensitive framework that enables reflexive use of computational approaches, i.e., quantitatively analyze but also explore different layers of cultural and linguistic meanings in online diasporic interactions. With Filipino migrants in Germany as a case study and partner community, the study then demonstrates the combined application of topic modeling and ethnographically inspired qualitative analysis on migrant posts in Facebook. The findings are discussed in the form of a cultural reflection on Filipino values and expectations and an advocacy for mixed methodologies grounded on critical, social, and practice-oriented theories.

Modified rational six vertex model on the rectangular lattice

We consider a rational six vertex model on a rectangular lattice with boundary conditions that generalize the usual domain wall type. We find that the partition function of the inhomogeneous version of this model is given by a modified Izergin determinant. The proofs are based on the quantum inverse scattering method and its representation theory together with elementary linear algebra.

On intermediate Lie algebra E7+1/2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$E_{7+1/2}$$\\end{document}

E7+1/2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$E_{7+1/2}$$\\end{document} is an intermediate Lie algebra filling a hole between E7\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$E_7$$\\end{document} and E8\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$E_8$$\\end{document} in the Deligne–Cvitanović exceptional series. It was found independently by Mathur, Muhki, Sen in the classification of 2d RCFTs via modular linear differential equations (MLDE) and by Deligne, Cohen, de Man in representation theory. In this paper we propose some new vertex operator algebras (VOA) associated with E7+1/2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$E_{7+1/2}$$\\end{document} and give some useful information at small levels. We conjecture that the affine VOA (E7+1/2)k\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$(E_{7+1/2})_k$$\\end{document} is rational if and only if the level k is at most 5, and provide some evidence from the viewpoint of MLDE. We propose a conjectural Weyl dimension formula for infinitely many irreducible representations of E7+1/2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$E_{7+1/2}$$\\end{document}, which generates almost all irreducible representations of E7+1/2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$E_{7+1/2}$$\\end{document} with level k≤4\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$k\\le 4$$\\end{document}. More concretely, we propose the affine VOA E7+1/2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$E_{7+1/2}$$\\end{document} at level 2 and the rank-two instanton VOA associated with E7+1/2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$E_{7+1/2}$$\\end{document}. We compute the VOA characters and provide some coset constructions. These generalize the previous works of Kawasetsu for affine VOA E7+1/2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$E_{7+1/2}$$\\end{document} at level 1 and of Arakawa–Kawasetsu at level -5\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$-5$$\\end{document}. We then predict the conformal weights of affine VOA E7+1/2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$E_{7+1/2}$$\\end{document} at level 3, 4, 5.

Makeup as a Form of Self-Representation: Queer Beauty Vlogger

This qualitative research explores makeup as a form of self-representation by queer beauty vlogger Deta Cahyaa. Applying Roland Barthes' semiotic theory, the study focuses on denotation, connotation, and myth concepts. Utilizing additional insights from Stuart Hall's Representation theory, the research employs an intensional approach to understand the nuances of makeup representation by queer beauty vlogger Deta Cahyaa in his YouTube channel. Through observational and documentary methods, the analysis reveals that queer representation in makeup has evolved beyond societal myths, transforming into a professional representation rather than reinforcing traditional stereotypes. The findings, illustrated through videos titled "Tutorial Makeup Dragon Makeup Halloween" and "Serum Foundation Pixy Makeup Going Out," contribute to reshaping perceptions surrounding makeup artists within the queer community. This study sheds light on the broader implications of makeup as a non-gender-bound profession. Highlights : Deta Cahyaa's YouTube Channel: Explore makeup representation by queer beauty vlogger Deta Cahyaa. Semiotic Analysis: Apply Roland Barthes' semiotic theory to dissect denotation, connotation, and myth in makeup representation. Evolution of Queer Representation: Examine how makeup transcends societal myths, transforming into a professional representation beyond gender stereotypes. Keywords: Makeup, Queer Representation, Semiotics, Beauty Vlogger, Gender Neutrality

The Causes and Effects of Fear of Missing Out on Social Media

As the frequency of social media use increases, psychological problems such as social media misuse anxiety may arise. Perhaps many online users have experienced or are experiencing Fear of Missing Out (FoMO), so it is particularly important to explore the communication theories that underlie the operation of FoMO and its consequences from the users' perspective. After a general introduction to the origins of the term FoMO, Goffman's Theatre Theory, Self-Presentation Theory and Sociology's Social Comparison Theory are used to explain the reasons why mass social media users experience FoMO. Overall, this paper finds that social media users are interested in positive self-presentation on Internet platforms, people are always actively or passively exposed to massive amounts of information within limited energy and time, and Internet users are socially upgraded by the good life deliberately created by others in the social network, all of which may be facilitated to some extent by FoMO. At the same time, this paper also popularises the behaviour of social media fatigue caused by FoMO to show that FoMO is a staged process with antecedents and consequences.

Generalized orthogonal measures on the space of unital completely positive maps

Abstract A classical result by Effros connects the barycentric decomposition of a state on a C*-algebra to the disintegration theory of the GNS representation of the state with respect to an orthogonal measure on the state space of the C*-algebra. In this note, we take this approach to the space of unital completely positive maps on a C*-algebra with values in B ⁢ ( H ) {B(H)} , connecting the barycentric decomposition of the unital completely positive map and the disintegration theory of the minimal Stinespring dilation of the same. This generalizes Effros’ work in the non-commutative setting. We do this by introducing a special class of barycentric measures which we call generalized orthogonal measures. We end this note by mentioning some examples of generalized orthogonal measures.

Experiences and meanings of trans men about breastfeeding in light of the Theory of Social Representations.

To analyze the experiences and meanings attributed by trans men to the breastfeeding process in light of the Theory of Social Representations. A qualitative, descriptive and exploratory study, carried out nationwide, with an intentional sample of five trans men who experienced breastfeeding and aged 18 or over. A semi-structured interview script was applied as a data collection instrument, using the Google Meet® platform, from September to October 2021. The data were described, integrating them with content analysis, resulting in two analytical categories. Trans men in labor were willing to breastfeed their child, anchoring their representations of breastfeeding in the idea that it is a phenomenon performed exclusively by women and also recognizing this phenomenon as an event that constitutes their masculinity, in addition to describing it as a pedagogical and learning experience with the objective of guaranteeing the healthy development of children. This study may promote reflections for changing nursing and health practices in different care settings, especially during prenatal care, childbirth and the postpartum period.

Media Representation and Cultural Identity

This article explores the dynamics of media representation and its profound impact on cultural identity and intercultural relations, exploring how various forms of media—television, films, and digital platforms—shape and are shaped by cultural identities globally. By employing key theoretical frameworks like cultural imperialism and representation theory, it examines the ways in which media influences cultural perceptions and identities across different regions, from the dominance of Western narratives to the cultural expressions in Eastern media. The review further investigates the role of modern media technologies, such as streaming platforms and social media, in facilitating global cultural exchange while also perpetuating stereotypes. Case studies of diverse media representations illustrate the dual role of media in challenging and reinforcing cultural norms and stereotypes. The findings highlight the necessity for media producers, policymakers, and educators to foster more accurate and inclusive representations to enhance cultural understanding and identity formation in an increasingly globalized world.