A polynomial rate of growth for the multiplicities in cocharacters of matrices

DOI10.1007/BF02765011zbMath0514.16010OpenAlexW1978091824MaRDI QIDQ1051068

Amitai Regev

Publication date: 1982

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02765011

zbMATH Keywords

matrix algebrassymmetric grouppolynomial identitiesmultilinear polynomialsrings with polynomial identityT-idealcocharacters of T-ideals

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Endomorphism rings; matrix rings (16S50) Representations of finite symmetric groups (20C30) Rings with polynomial identity (16Rxx)

Related Items (4)

On the identities of subalgebras of matrices over the Grassmann algebra ⋮ The mathematics of Amitai Regev ⋮ From polynomial to formal identities ⋮ Combinatorial sums, identities and trace identities of the 2x2 matrices

Cites Work

• Unnamed Item
• The Kronecker product of \(S_n\)-characters and an \(A\otimes B\) theorem for Capelli identities
• On the height of the Kronecker product of \(S_ n \)characters
• Asymptotic values for degrees associated with strips of Young diagrams
• The polynomial identities of matrices in characteristic zero
• The T -Ideals of the Free Ring

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