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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98118We 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.9 pagesRings and AlgebrasCombinatorics16R30; 05E05Multiplicities in the trace cocharacter sequence of two $4\times 4$ matricestext