Multiplicities in the mixed trace cocharacter sequence of two $3\times 3$ matrices

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
LATEX file, 9 pages

Keywords

Rings and Algebras, Commutative Algebra, Combinatorics, 16R30; 05E05

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/98115

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411082
 http://arxiv.org/abs/math/0411082
 International J. Algebra and Computations 16 (2006), No. 2, 275-285

Collections

arXiv