Gradings on the algebra of upper triangular matrices of size three.

DOI10.1016/j.laa.2013.01.033zbMath1283.16037OpenAlexW1996552302MaRDI QIDQ389733

Alessio Cirrito

Publication date: 21 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2013.01.033

zbMATH Keywords

multilinear identitiesgraded identitiesgraded polynomial identitiesalgebras of triangular matricesgraded cocharactersgraded ideals of identitiesgraded T-idealsgroup-graded algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Representations of finite symmetric groups (20C30) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (3)

\(Y\)-proper graded cocharacters of the algebra \(UT_m(F)\) of \(m \times m\) upper triangular matrices over \(F\) ⋮ Ordinary and graded cocharacter of the Jordan algebra of \(2 \times 2\) upper triangular matrices ⋮ \(Y\)-proper graded cocharacters of upper triangular matrices of order \(m\) graded by the \(m\)-tuple \(\phi=(0,0,1,\ldots,m-2)\).

Cites Work

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• Wreath products and P.I. algebras
• Magnum P.I
• Group-graded algebras with polynomial identity
• The graded identities of upper triangular matrices of size two
• Gradings on the algebra of upper triangular matrices and their graded identities.
• Group gradings on upper triangular matrices.
• Actions of Commutative Hopf Algebras
• Identities of associative algebras
• Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution
• Identities of graded algebras and codimension growth

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