Y-proper graded cocharacters of upper-triangular matrices od order m graded by the m-tuple \phi=(0,0,1,...,m-2)
Rings and Algebras
2014-07-08 v1
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.
Keywords
Cite
@article{arxiv.1407.1701,
title = {Y-proper graded cocharacters of upper-triangular matrices od order m graded by the m-tuple \phi=(0,0,1,...,m-2)},
author = {Lucio Centrone and Alessio Cirrito},
journal= {arXiv preprint arXiv:1407.1701},
year = {2014}
}