Primitive vectors in induced supermodules for general linear supergroups

2013/09/15 by Frantisek Marko, Marko, Frantisek
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1309.3801

arxiv created 2014/04/17 · arxiv updated 2014/04/21

Abstract

The purpose of the paper is to derive formulas that describe the structure of the induced supermodule H⁰_G(\la) 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 H⁰_G(λ). We conclude with remarks related to the linkage principle in positive characteristic.

Related

• Even-primitive vectors in induced supermodules for general linear supergroups and in costandard supermodules for Schur superalgebras
• Combinatorial aspects of the linkage principle for general linear supergroups
• Blocks for general linear supergroup GL(m|n)
• Linkage for periplectic supergroups in positive characteristic
• Irreducibility of induced modules for general linear supergroups