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

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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Hauptverfasser: Drensky, Vesselin, Genov, Georgi K
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Combinatorics
Mathematics - Rings and Algebras
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Zusammenfassung: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.
DOI:10.48550/arxiv.math/0502373