Trace cocharacters of direct sums and tensor products

DOI10.1080/00927879808826214zbMath0906.16009OpenAlexW1977845944MaRDI QIDQ4395740

Allan Berele

Publication date: 8 December 1998

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

Full work available at URL: https://doi.org/10.1080/00927879808826214

zbMATH Keywords

trace identitiescharacters of symmetric groupsPI algebrastrace cocharactersbases of trace identities

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Trace rings and invariant theory (associative rings and algebras) (16R30) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Cites Work

• Invariants and the ring of generic matrices
• The Kronecker product of \(S_n\)-characters and an \(A\otimes B\) theorem for Capelli identities
• TRACE IDENTITIES FOR DIAGONAL AND UPPER TRIANGULAR MATRICES

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