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

2012

Abstract Let F be a field of characteristic 0. We consider the upper triangular matrices with entries in F of size 2, 3 and 4 endowed with the grading induced by that of Vasilovsky. In this paper we give explicit computation for the multiplicities of the Y -proper graded cocharacters and codimensions of these algebras.

CombinatoricsSettore MAT/02 - AlgebraAlgebra and Number TheoryMathematics::Commutative AlgebraGraded identitiesComputationPolynomial identities graded identitiesTriangular matrixPolynomial identitiesMathematicsJournal of Algebra
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