Identities of bilinear mappings and graded polynomial identities of matrices

DOI10.1016/S0024-3795(02)00732-2zbMath1025.15019MaRDI QIDQ1399922

Yu. A. Bakhturin, Vesselin Drensky

Publication date: 30 July 2003

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

zbMATH Keywords

matrix algebrarepresentationinvariantpolynomial identitygrading

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Algebraic systems of matrices (15A30) Quadratic and bilinear forms, inner products (15A63)

Related Items (9)

Some thoughts on the current state of the theory of identical relations in Lie algebras ⋮ Cocharacters of bilinear mappings and graded matrices. ⋮ Identities of unitary finite-dimensional algebras. ⋮ Computing the ℤ₂-Cocharacter of 3 × 3 Matrices of Odd Degree ⋮ Finite-dimensional non-associative algebras and codimension growth ⋮ Codimension growth of algebras with adjoint unit ⋮ Lie, Jordan and proper codimensions of associative algebras. ⋮ Identities of PI-Algebras Graded by a Finite Abelian Group ⋮ Footnotes to a paper of Domokos. I.

Cites Work

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• A characteristic free approach to invariant theory
• On the graded identities of \(M_{1,1}(E)\)
• Graded polynomial identities of matrices
• On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory
• $\mathbf {Z}_n$-graded polynomial identities of the full matrix algebra of order $n$
• Z-Graded Polynomial Identities of the Full Matrix Algebra

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