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

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

2005-02-17

arxiv.org/abs/math/0502373v1

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

Mathematics

Rings and Algebras

9 pages

Scientific paper

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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