Involution codimensions and trace codimensions of matrices are asymptotically equal

DOI10.1007/BF02785533zbMath0874.16018MaRDI QIDQ677445

Amitai Regev, Antonio Giambruno, Allan Berele

Publication date: 24 September 1997

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

zbMATH Keywords

polynomial identities of matricescocharacter sequencescodimensions of T-ideals\(\ast\)-polynomial identitiestrace codimensions

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Trace rings and invariant theory (associative rings and algebras) (16R30)

Related Items (8)

On the asymptotics of Capelli polynomials ⋮ The mathematics of Amitai Regev ⋮ Capelli identities on algebras with involution or graded involution ⋮ Codimensions of algebras with additional structures ⋮ Star-fundamental algebras: polynomial identities and asymptotics ⋮ Involution codimensions of finite dimensional algebras and exponential growth ⋮ On the \(*\)-cocharacter sequence of \(3\times 3\) matrices ⋮ Asymptotics for Capelli polynomials with involution

Cites Work

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• Homology of symplectic and orthogonal algebras
• Codimensions and trace codimensions of matrices are asymptotically equal
• Homogeneous polynomial identities
• Wreath products and P.I. algebras
• The invariant theory of \(n\times n\) matrices
• The representation theory of the symmetric groups
• Matrices with involution and invariant theory
• Asymptotic values for degrees associated with strips of Young diagrams
• Identities in rings with involutions
• Glxgl- representations and ∗-polynomial identities

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