MULTIPLICITIES IN THE MIXED TRACE COCHARACTER SEQUENCE OF TWO 3 × 3 MATRICES

DOI10.1142/S0218196706002974zbMath1110.16022arXivmath/0411082OpenAlexW2962806743MaRDI QIDQ5483461

Georgi K. Genov, Vesselin Drensky, Angela Valenti

Publication date: 14 August 2006

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411082

zbMATH Keywords

Schur functionsHilbert seriessymmetric functionsinvariant theorytrace ringsalgebras with polynomial identitygeneric matricesmatrix concomitants

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Trace rings and invariant theory (associative rings and algebras) (16R30)

Related Items (3)

Computing multiplicities in the sign trace cocharacters of \(M_{2,1}(F)\) ⋮ Maximal multiplicities in cocharacter sequences. ⋮ Using Hook Schur Functions to Compute Matrix Cocharacters

Cites Work

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• A conjecture of Regev about the Capelli polynomial
• Computing with 2\(\times 2\) matrices
• Invariants and the ring of generic matrices
• Codimensions of T-ideals and Hilbert series of relatively free algebras
• Explicit rational forms for the Poincaré series of the trace rings of generic matrices
• Multiplicities of Schur functions in invariants of two \(3\times 3\) matrices
• Trace cocharacters and the Kronecker products of Schur functions
• Denominators for the Poincaré series of invariants of small matrices
• Approximate multiplicities in the trace cocharacter sequence of two three-by-three matrices
• The ring of invariants of matrices

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