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arXiv · 1112.0792

Cocharacters of polynomial identities of block triangular matrices

Vesselin Drensky·Boyan Kostadinov
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Abstract

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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Vesselin Drensky, Boyan Kostadinov. 2016-01-12. Cocharacters of polynomial identities of block triangular matrices. https://arxiv.org/abs/1112.0792

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