Computing cocharacters of sign trace identities

DOI10.1080/03081088808817852zbMath0665.16013OpenAlexW2036880178MaRDI QIDQ3816213

Jeffery B. Remmel

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/03081088808817852

zbMATH Keywords

partitionsKronecker productirreducible \(S_ n\)-charactersign trace cocharacter

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Representations of finite symmetric groups (20C30) Rings with polynomial identity (16Rxx)

Related Items (6)

Computing multiplicities in the sign trace cocharacters of \(M_{2,1}(F)\) ⋮ Computing cocharacters of sign trace identities in reduced notation ⋮ On \(*\)-cocharacters of \(M_{1,1}(E)\). ⋮ Computing super matrix invariants. ⋮ Formulas for the expansion of the Kronecker products \(S_{(m,n)} \otimes{}S_{(1^{p-r},r)}\) and \(S_{(1^ k2^ l)} \otimes{}S_{(1^{p-r},r)}\) ⋮ Combinatorial algorithms for the expansion of various products of Schur functions

Cites Work

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• Maximal multiplicities in cocharacter sequences.
• Shuffles of permutations and the Kronecker product
• The invariant theory of \(n\times n\) matrices
• Multiplying Schur functions
• The Kronecker Product of Symmetric Group Representations
• Plethysm and the Inner Product of S -Functions
• Symmetric functions and raising operators
• TRACE IDENTITIES OF FULL MATRIX ALGEBRAS OVER A FIELD OF CHARACTERISTIC ZERO

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