\(Y\)-proper graded cocharacters and codimensions of upper triangular matrices of size 2, 3, 4.

DOI10.1016/j.jalgebra.2012.05.019zbMath1279.16018OpenAlexW1983585818MaRDI QIDQ1947348

Alessio Cirrito, Lucio Centrone

Publication date: 22 April 2013

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.05.019

zbMATH Keywords

polynomial identitiesgraded identitiesupper triangular matrix algebrasgraded codimensionsgraded cocharacters

Mathematics Subject Classification ID

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

Related Items (5)

Graded polynomial identities for the upper triangular matrix algebra over a finite field ⋮ \(Y\)-proper graded cocharacters of the algebra \(UT_m(F)\) of \(m \times m\) upper triangular matrices over \(F\) ⋮ \(Y\)-proper graded cocharacters and codimensions of upper triangular matrices of size 2, 3, 4. ⋮ 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 \(\phi=(0,0,1,\ldots,m-2)\).

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