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

Mediterr. J. Math. 2 (2005), 231-241 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...

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description Mediterr. J. Math. 2 (2005), 231-241 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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title Multiplicities in the trace cocharacter sequence of two $4\times 4$ matrices
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