Y-proper graded cocharacters of upper-triangular matrices od order m graded by the m-tuple ϕ=(0,0,1,...,m-2)

2014/07/07 by Lucio Centrone, Centrone, Lucio, Alessio Cirrito +1
Mathematics · #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.1407.1701

arxiv created 2014/07/07 · arxiv updated 2014/07/08

Abstract

Let F be a field of characteristic 0. We consider the algebra UT_m(F) of upper triangular matrices of order m endowed with na elementar Z_m-grading induced by the m-tuple phi=(0,0,1,...,m-2), then we compute its Y-proper graded cocharacter sequence and we give the explicit formulas for the multiplicities in the case m=2,3,4,5.

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