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

Vesselin Drensky·Georgi K. Genov
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Abstract

We find explicitly the generating functions of the multiplicities in the pure and mixed trace cocharacter sequences of two $4\times 4$ 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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Vesselin Drensky, Georgi K. Genov. 2005-02-17. Multiplicities in the trace cocharacter sequence of two $4\times 4$ matrices. https://arxiv.org/abs/math/0502373

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