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Hecke symmetries and characteristic relations on Reflection Equation algebras

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arxiv q-alg/9605048 v2 pith:YBBWAK3Q submitted 1996-06-02 q-alg math.QA

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keywords heckealgebraequationreflectionrelationssymmetryalgebraicalgebras
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We discuss how properties of Hecke symmetry (i.e., Hecke type R-matrix) influence the algebraic structure of the corresponding Reflection Equation (RE) algebra. Analogues of the Newton relations and Cayley-Hamilton theorem for the matrix of generators of the RE algebra related to a finite rank even Hecke symmetry are derived.

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