Primitive vectors in induced supermodules for general linear supergroups

František Marko

doi:10.1016/j.jpaa.2014.05.028

Primitive vectors in induced supermodules for general linear supergroups

František Marko

Penn State Hazleton

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 G_ev=GL(m)×GL(n)-vectors in HG0(λ). We conclude with remarks related to the linkage principle in positive characteristic.

Original language	English (US)
Pages (from-to)	978-1007
Number of pages	30
Journal	Journal of Pure and Applied Algebra
Volume	219
Issue number	4
DOIs	https://doi.org/10.1016/j.jpaa.2014.05.028
State	Published - Apr 1 2015

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jpaa.2014.05.028

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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.",

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AB - 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.

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Primitive vectors in induced supermodules for general linear supergroups

Abstract

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