Details

Autor(en) / Beteiligte

• Marko, František

Titel

Combinatorial Aspects of An Odd Linkage Property for General Linear Supergroups

Ist Teil von

• Algebras and representation theory, 2022-12, Vol.25 (6), p.1429-1460

Ort / Verlag

Dordrecht: Springer Netherlands

Erscheinungsjahr

2022

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Let G = GL( m | n ) be a general linear supergroup, and G e v be its even subsupergroup isomorphic to GL( m ) ×GL( n ). In this paper, we use the explicit description of G e v -primitive vectors in the costandard supermodule ∇( λ ), the largest polynomial G -subsupermodule of the induced supermodule H G 0 ( λ ) , for ( m | n )-hook partition λ , and properties of certain morphisms ψ k to derive results related to odd linkage for G over a field F of characteristic different from 2.