Q-multilinear Algebra

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dc.creatorIsaev, A.
dc.creatorOgievetsky, O.
dc.creatorPyatov, P.
dc.date1999-12-30
dc.date.accessioned2026-07-07T05:32:33Z
dc.date.available2026-07-07T05:32:33Z
dc.descriptionThe Cayley-Hamilton-Newton theorem - which underlies the Newton identities and the Cayley-Hamilton identity - is reviewed, first, for the classical matrices with commuting entries, second, for two q-matrix algebras, the RTT-algebra and the RLRL-algebra. The Cayley-Hamilton-Newton identities for these q-algebras are related by the factorization map. A class of algebras M(R,F) is presented. The algebras M(R,F) include the RTT-algebra and the RLRL-algebra as particular cases. The algebra M(R,F) is defined by a pair of compatible matrices R and F. The Cayley-Hamilton-Newton theorem for the algebras M(R,F) is stated. A nontrivial example of a compatible pair is given.
dc.descriptionLaTeX, 12 pages. Lecture given at the 3rd International Workshop on "Lie Theory and Its Applications in Physics - Lie III", 11 - 14 July 1999, Clausthal, Germany
dc.identifierhttps://arxiv.org/abs/math/9912231
dc.identifierhttp://arxiv.org/abs/math/9912231
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79696
dc.subjectQuantum Algebra
dc.subject81R50
dc.titleQ-multilinear Algebra
dc.typetext

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