English

Multiplicities in the trace cocharacter sequence of two $4\times 4$ matrices

Rings and Algebras 2007-05-23 v1 Combinatorics

Abstract

We find explicitly the generating functions of the multiplicities in the pure and mixed trace cocharacter sequences of two 4×44\times 4 matrices over a field of characteristic 0. We determine the asymptotic behavior of the multiplicities and show that they behave as polynomials of 14th degree.

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Cite

@article{arxiv.math/0502373,
  title  = {Multiplicities in the trace cocharacter sequence of two $4\times 4$ matrices},
  author = {Vesselin Drensky and Georgi K. Genov},
  journal= {arXiv preprint arXiv:math/0502373},
  year   = {2007}
}

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9 pages