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

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dc.creatorDrensky, Vesselin
dc.creatorGenov, Georgi K.
dc.creatorValenti, Angela
dc.date2004-11-04
dc.date.accessioned2026-07-07T06:29:40Z
dc.date.available2026-07-07T06:29:40Z
dc.descriptionWe 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.
dc.descriptionLATEX file, 9 pages
dc.identifierhttps://arxiv.org/abs/math/0411082
dc.identifierhttp://arxiv.org/abs/math/0411082
dc.identifierInternational J. Algebra and Computations 16 (2006), No. 2, 275-285
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98115
dc.subjectRings and Algebras
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subject16R30; 05E05
dc.titleMultiplicities in the mixed trace cocharacter sequence of two $3\times 3$ matrices
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