Mathematics – Rings and Algebras
Scientific paper
2004-11-04
International J. Algebra and Computations 16 (2006), No. 2, 275-285
Mathematics
Rings and Algebras
LATEX file, 9 pages
Scientific paper
We find explicitly the multiplicities in the (mixed) trace cocharacter sequence of two $3\times 3$ matrices over a field of characteristic 0 and show that asymptotically they behave as polynomials of seventh degree. As a consequence we obtain also the multiplicities of certain irreducible characters in the cocharacter sequence of the polynomial identities of $3\times 3$ matrices.
Drensky Vesselin
Genov Georgi K.
Valenti Angela
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