Y-proper graded cocharacters of upper-triangular matrices od order m graded by the m-tuple φ=(0,0,1,...,m-2)
Abstract
Let F be a field of characteristic 0. We consider the algebra UTm(F) of upper triangular matrices of order m endowed with na elementar Zm-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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