On the graded identities and cocharacters of the algebra of \(3\times 3\) matrices

DOI10.1016/J.LAA.2003.12.040zbMath1057.15019OpenAlexW1966871989MaRDI QIDQ1827478

Daniela La Mattina

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.12.040

zbMATH Keywords

general linear grouphyperoctahedral groupsuperalgebragraded identitiespolynomial identityGrassmann envelopecocharactermultilinear polynomial identities

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Algebraic systems of matrices (15A30) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (3)

Identities and cocharacters of the algebra of \(3 \times 3\) matrices with non-trivial grading and transpose graded involution ⋮ Quasi-Polynomials of Capelli. II ⋮ On Graded Central Polynomials of the Graded AlgebraM₂(E)

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• Glxgl- representations and ∗-polynomial identities
• The polynomial identities of matrices in characteristic zero
• Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution

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