Approximate multiplicities in the trace cocharacter sequence of two three-by-three matrices

DOI10.1080/00927879708825967zbMath0881.16015OpenAlexW2111191319MaRDI QIDQ4344694

Allan Berele

Publication date: 7 January 1998

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

Full work available at URL: https://doi.org/10.1080/00927879708825967

zbMATH Keywords

Schur functionsPoincaré seriesHilbert seriespolynomial identities of matricesasymptotic resultsmatrix invariantsPI-algebrasgeneric trace algebrastrace cocharacters

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 (7)

Computing multiplicities in the sign trace cocharacters of \(M_{2,1}(F)\) ⋮ Growth for algebras satisfying polynomial identities. ⋮ Multiplicities of Schur functions in invariants of two \(3\times 3\) matrices ⋮ Asymptotic behaviour of codimensions of p. i. algebras satisfying Capelli identities ⋮ Applications of Belov's theorem to the cocharacter sequence of p.i. algebras. ⋮ MULTIPLICITIES IN THE MIXED TRACE COCHARACTER SEQUENCE OF TWO 3 × 3 MATRICES ⋮ Trace cocharacters and the Kronecker products of Schur functions

Cites Work

• Invariants and the ring of generic matrices

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