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
Centrone, L., Cirrito, A. (2012). Y -proper graded cocharacters and codimensions of upper triangular matrices of size 2, 3, 4. JOURNAL OF ALGEBRA, 367(2012), 75-94 [10.1016/j.jalgebra.2012.05.019].
Y -proper graded cocharacters and codimensions of upper triangular matrices of size 2, 3, 4
CIRRITO, Alessio
2012-01-01
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
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