Cocharacters of polynomial identities of upper triangular matrices

Autor:	Boumova, Silvia, Drensky, Vesselin
Rok vydání:	2011
Předmět:	Mathematics - Rings and Algebras Mathematics - Combinatorics 16R10 05A15 05E05 05E10 20C30
Druh dokumentu:	Working Paper
Popis:	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. Comment: 21 pages, LATEX source
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1101.4503 Zobrazit plný text záznamu View this record from Arxiv