*-polynomial identities of matrices with the transpose involution: The low degrees

DOI10.1090/S0002-9947-99-02301-6zbMath0935.16013OpenAlexW1720820961MaRDI QIDQ4269105

Michel L. Racine, Alain D'Amour

Publication date: 31 October 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02301-6

zbMATH Keywords

*-polynomial identitiesmatrix algebras with involutions

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (7)

*-Polynomial Identities of Matrices with the Symplectic Involution: The Low Degrees ⋮ Minimal degree of identities of matrix algebras with additional structures ⋮ Identities and cocharacters of the algebra of \(3 \times 3\) matrices with non-trivial grading and transpose graded involution ⋮ Matrix identities involving multiplication and transposition. ⋮ Standard identities for skew-symmetric matrices ⋮ Identities with involution for the matrix algebra of order two in characteristic \(p\). ⋮ Trace Identities for Matrices with the Transpose Involution

Cites Work

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• Jordan triple systems by the grid approach
• A Lie algebra generalization of the Amitsur-Levitski theorem
• Central polynomials for Jordan algebras. I
• On *-polynomial identities for n\(\times n\) matrices
• Identities in rings with involutions
• Minimal identities for jordan algebras of degree 2
• A simple proof of Kostant’s theorem, and an analogue for the symplectic involution
• A Decomposition of Elements of the Free Algebra
• Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution
• Standard Polynomials in Matrix Algebras
• Minimal Identities for Algebras

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