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

摘要

Let F be a field of characteristic 0. We consider the algebra UTm(F) of upper triangular matrices of order m endowed with an elementary 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. (C) 2014 Elsevier Inc. All rights reserved.