Primitive vectors in induced supermodules for general linear supergroups

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Abstract

The purpose of the paper is to derive formulas that describe the structure of the induced supermodule HG0(λ) for the general linear supergroup G=GL(m|n) over an algebraically closed field K of characteristic p≠2. Using these formulas we determine primitive Gev=GL(m)×GL(n)-vectors in HG0(λ). We conclude with remarks related to the linkage principle in positive characteristic.

Original languageEnglish (US)
Pages (from-to)978-1007
Number of pages30
JournalJournal of Pure and Applied Algebra
Volume219
Issue number4
DOIs
StatePublished - Apr 1 2015

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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