\(A\)-codimensions and \(A\)-cocharacters

DOI10.1007/BF02773073zbMath1026.16006OpenAlexW2019122230MaRDI QIDQ1870921

Amitai Regev, Anne Henke

Publication date: 28 September 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02773073

zbMATH Keywords

Grassmann algebrasPI algebrascocharacter sequencesmultilinear polynomials\(A\)-codimensionsalternating group representations

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Trace rings and invariant theory (associative rings and algebras) (16R30) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75)

Related Items (5)

\(A\)-identities for the \(2\times 2\) matrix algebra. ⋮ $A$-identities for the Grassmann algebra: The conjecture of Henke and Regev ⋮ \(A\)-identities for upper triangular matrices: a question of Henke and Regev. ⋮ Minimum degree of an A-identity of E ⊗ E ⋮ Graded A-identities for M_1,1 (E)

Cites Work

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• Algebras satisfying a Capelli identity
• Colength sequence of some T-ideals
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Weyl modules for the Schur algebra of the alternating group.
• The Polynomial Identities of the Grassman Algebra

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