Description of costandard modules for Schur superalgebraS(2|1) in positive characteristic

DOI10.1080/03081080903264107zbMath1262.17002OpenAlexW2034425754MaRDI QIDQ3082853

František Marko, Alexandr N. Zubkov, Alexander N. Grishkov

Publication date: 17 March 2011

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081080903264107

zbMATH Keywords

superalgebracostandard modulepolynomial superinvariant

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Superalgebras (17A70) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (5)

Even-primitive vectors in induced supermodules for general linear supergroups and in costandard supermodules for Schur superalgebras ⋮ Description of costandard modules for Schur superalgebra S(2|2) in positive characteristic ⋮ Description of Costandard Modules of Schur SuperalgebraS(3 | 1) ⋮ DESCRIPTION OF SIMPLE MODULES FOR SCHUR SUPERALGEBRA S(2|2) ⋮ A retrospect of the research in nonassociative algebras in IME-USP

Cites Work

• A characterization of supersymmetric polynomials
• A new proof of the Mullineux conjecture.
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• COSTANDARD MODULES OVER SCHUR SUPERALGEBRAS IN CHARACTERISTIC p
• The algebra of polynomial invariants of the adjoint representation of the Lie superalgebra gl(m,n)

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