Combinatorial Aspects of An Odd Linkage Property for General Linear Supergroups

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Abstract

Let G = GL(m|n) be a general linear supergroup, and Gev be its even subsupergroup isomorphic to GL(m) ×GL(n). In this paper, we use the explicit description of Gev-primitive vectors in the costandard supermodule ∇(λ), the largest polynomial G-subsupermodule of the induced supermodule HG0(λ), for (m|n)-hook partition λ, and properties of certain morphisms ψk to derive results related to odd linkage for G over a field F of characteristic different from 2.

Original languageEnglish (US)
JournalAlgebras and Representation Theory
DOIs
StateAccepted/In press - 2021

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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