Computing cocharacters of sign trace identities in reduced notation

DOI10.1080/03081080500286545zbMath1089.16018OpenAlexW2063889064MaRDI QIDQ5291791

Luisa Carini

Publication date: 22 May 2006

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

Full work available at URL: https://doi.org/10.1080/03081080500286545

zbMATH Keywords

partitionsSchur functionssymmetric groupsKronecker productsirreducible characterstrace identitiescocharactersinvariant theory of matrices

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Trace rings and invariant theory (associative rings and algebras) (16R30)

Related Items (1)

Computing multiplicities in the sign trace cocharacters of \(M_{2,1}(F)\)

Cites Work

• Multiplicities in the trace cocharacter sequence of two \(4\times 4\) matrices.
• The invariant theory of \(n\times n\) matrices
• The Inner Plethysm of S-Functions
• Products and Plethysms of Characters with Orthogonal, Symplectic and Symmetric Groups
• The Kronecker Product of Symmetric Group Representations
• Sign trace identities
• Computing cocharacters of sign trace identities
• Reduced notation, inner plethysms and the symmetric group
• The Analysis of the Direct Product of Irreducible Representations of the Symmetric Groups

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