Central polynomials of the second-order matrix algebra with graded involution

DOI10.1016/J.JALGEBRA.2023.11.002MaRDI QIDQ6144377

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Publication date: 29 January 2024

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

zbMATH Keywords

graded polynomial identitycocharactertranspose involution

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Graded rings and modules (associative rings and algebras) (16W50)

Cites Work

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• Graded polynomial identities for matrices with the transpose involution
• Central polynomials for \(\mathbb{Z}_2\)-graded algebras and for algebras with involution.
• Central polynomials of second-order matrix algebra
• Central polynomials in the matrix algebra of order two.
• Identities and cocharacters of the algebra of \(3 \times 3\) matrices with non-trivial grading and transpose graded involution
• Involutions on graded matrix algebras.
• Central polynomials for matrix rings
• Weak polynomial identities for the matrix algebras
• Graded polynomial identities for matrices with the transpose involution over an infinite field
• Graded Brauer Groups.

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