Linkage principle for ortho-symplectic supergroups

František Marko, Alexandr N. Zubkov

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The purpose of the paper is to derive linkage principle for modular representations of ortho-symplectic supergroups. We follow the approach of Doty and investigate in detail the representation theory of the ortho-symplectic group SpO(2|1) and that of its Frobenius thickening. Using the description of flags and adjacent Borel supersubgroups we derive first the strong linkage for the Frobenius thickening GrT of the ortho-symplectic supergroup G of type SpO(2m|2n+1) and SpO(2m|2n). Based on this, we derive the linkage principle for ortho-symplectic supergroups SpO(2m|2n+1) and SpO(2m|2n).

Original languageEnglish (US)
Pages (from-to)444-482
Number of pages39
JournalJournal of Algebra
Volume493
DOIs
StatePublished - Jan 1 2018

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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