Multiplicities of Schur functions in invariants of two \(3\times 3\) matrices

DOI10.1016/S0021-8693(03)00070-XzbMath1027.16013OpenAlexW1989341273MaRDI QIDQ1399181

Georgi K. Genov, Vesselin Drensky

Publication date: 30 July 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(03)00070-x

zbMATH Keywords

Schur functionsHilbert seriessymmetric functionsirreducible modulesmatrix invariantscocharacter sequencestrace ringsconjugation invariants

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Trace rings and invariant theory (associative rings and algebras) (16R30)

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Cites Work

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• Computing with 2\(\times 2\) matrices
• Invariants and the ring of generic matrices
• Codimensions of T-ideals and Hilbert series of relatively free algebras
• Young-derived sequences of \(S_ n\)-characters
• Approximate multiplicities in the trace cocharacter sequence of two three-by-three matrices
• The ring of invariants of matrices
• On Symmetrized Kronecker Powers and the Structure of the Free Lie Ring