COSTANDARD MODULES OVER SCHUR SUPERALGEBRAS IN CHARACTERISTIC p

DOI10.1142/S0219498808002734zbMath1149.17002OpenAlexW1965882970MaRDI QIDQ3521530

Roberto La Scala, Alexandr N. Zubkov

Publication date: 26 August 2008

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498808002734

zbMATH Keywords

tableauxSchur superalgebracostandard module

Mathematics Subject Classification ID

Related Items (11)

Irreducibility of induced supermodules for general linear supergroups ⋮ Symmetrizers for Schur superalgebras ⋮ Even-primitive vectors in induced supermodules for general linear supergroups and in costandard supermodules for Schur superalgebras ⋮ Generators of supersymmetric polynomials in positive characteristic ⋮ On Schur superfunctors ⋮ Combinatorial aspects of an odd linkage property for general linear supergroups ⋮ Description of costandard modules for Schur superalgebra S(2|2) in positive characteristic ⋮ Primitive vectors in induced supermodules for general linear supergroups ⋮ A note on bideterminants for Schur superalgebras ⋮ Description of costandard modules for Schur superalgebraS(2|1) in positive characteristic ⋮ DESCRIPTION OF SIMPLE MODULES FOR SCHUR SUPERALGEBRA S(2|2)

Cites Work

• Rational representations of algebraic groups: Tensor products and filtrations
• On Schur algebras and related algebras. I
• A new proof of the Mullineux conjecture.
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Symmetric and Exterior Powers, Linear Source Modules and Representations of Schur Superalgebras
• SCHUR SUPERALGEBRAS IN CHARACTERISTIC p, II
• Symbolic method in invariant theory
• Gordan—Capelli series in superalgebras
• Filtrations of $G$-modules
• Capelli's theory, Koszul maps, and superalgebras.
• SUPER RSK-ALGORITHMS AND SUPER PLACTIC MONOID

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