Abstract
In Erdmann and Henke (Math. Proc. Cambridge Philos. Soc., to appear) we determine precisely the degrees r for which the Schur algebra S(2, r) is its own Ringel dual. Here we study some applications: We classify uniserial Weyl modules and tilting modules. Based on Doty (J. Algebra 95 (1985) 373), we describe the submodule lattice of Specht modules labelled by two-part partitions and we classify uniserial Specht modules and Young modules labelled by two-part partitions. Moreover, we determine extensions for simple modules for the Ringel duals of arbitrary S(2, r). As a consequence we obtain corresponding results on symmetric groups.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
