Symmetric and skew-symmetric polynomial identities with involution for the upper triangular matrix algebras of even order

DOI10.1016/j.laa.2022.02.002zbMath1503.16028OpenAlexW4210729638MaRDI QIDQ2669184

Ronald Ismael Quispe Urure

Publication date: 9 March 2022

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2022.02.002

zbMATH Keywords

involutionsupper triangular matricesbasis of identitiesidentities 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) Algebraic systems of matrices (15A30)

Cites Work

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• Kemer's theory for \(H\)-module algebras with application to the PI exponent
• Involutions for upper triangular matrix algebras.
• Identities with involution for \(2\times 2\) upper triangular matrices algebra over a finite field
• Identities and central polynomials with involution for the Grassmann algebra
• Z_P-CODIMENSIONS OF Z_P-IDENTITIES OF GRASSMANN ALGEBRA
• Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution

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