Description of Costandard Modules of Schur SuperalgebraS(3 | 1)

DOI10.1080/00927872.2012.660263zbMath1328.17006OpenAlexW2042122408MaRDI QIDQ2842330

František Marko

Publication date: 13 August 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2012.660263

zbMATH Keywords

general linear groupdecomposition numbersSchur superalgebracostandard module

Mathematics Subject Classification ID

Superalgebras (17A70) Schur and (q)-Schur algebras (20G43)

Related Items (4)

Even-primitive vectors in induced supermodules for general linear supergroups and in costandard supermodules for Schur superalgebras ⋮ 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

Cites Work

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• Good \(l\)-filtrations for \(q\)-\(\mathrm{GL}_3(k)\)
• The submodule structure of Weyl modules for \(SL_ 3\)
• The structure of certain highest weight modules for \(SL_ 3\)
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Description of costandard modules for Schur superalgebraS(2|1) in positive characteristic
• Characters of typical representations of classical lie superalgebras
• Some properties of general linear supergroups and of Schur superalgebras
• The global dimension of Schur algebras for \(\text{GL}_2\) and \(\text{GL}_3\)

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