Cocharacters of polynomial identities of block triangular matrices

Details Cocharacters of polynomial identities of block triangular matrices Cocharacters of polynomial identities of block triangular matrices

2011-12-04

arxiv.org/abs/1112.0792v1

Mathematics

Rings and Algebras

25 pages

Scientific paper

We give an algorithm which calculates the generating function of the cocharacter sequence of the polynomial identities of the algebra of upper block triangular (p+2q) x (p+2q) matrices over a field of characteristic zero with diagonal consisting of p copies of 1 x 1 and q copies of 2 x 2 matrices. We have found the explicit form of the multiplicities and their asymptotic behaviour for small values of p and q.

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