Irreducibility of induced supermodules for general linear supergroups

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this note we determine when an induced supermodule H G 0 (λ), corresponding to a dominant integral highest weight λ of the general linear supergroup G=GL(m|n), is irreducible. Using the contravariant duality given by the supertrace we obtain a characterization of irreducibility of Weyl supermodules V(λ). This extends the result of Kac ([12], [13]) who proved that, for ground fields of characteristic zero, V(λ) is irreducible if and only if λ is typical.

Original languageEnglish (US)
Pages (from-to)92-110
Number of pages19
JournalJournal of Algebra
Volume494
DOIs
StatePublished - Jan 15 2018

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Irreducibility
Duality
If and only if
Zero

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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Irreducibility of induced supermodules for general linear supergroups. / Marko, Frantisek.

In: Journal of Algebra, Vol. 494, 15.01.2018, p. 92-110.

Research output: Contribution to journalArticle

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