Cocharacters of polynomial identities of upper triangular matrices
Rings and Algebras
2011-01-25 v1 Combinatorics
Abstract
We give an easy algorithm which calculates the generating function of the cocharacter sequence of the T-ideal of the polynomial identities of the algebra of upper triangular matrices over a field of characteristic zero. Applying this algorithm we have found the explicit form of the multiplicities in two cases: (i) for the "largest" partitions; (ii) for matrices of small size and for all partitions.
Cite
@article{arxiv.1101.4503,
title = {Cocharacters of polynomial identities of upper triangular matrices},
author = {Silvia Boumova and Vesselin Drensky},
journal= {arXiv preprint arXiv:1101.4503},
year = {2011}
}
Comments
21 pages, LATEX source