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Hecke symmetries and characteristic relations on Reflection Equation algebras

D. I. Gurevich·P. N. Pyatov·P. A. Saponov
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Abstract

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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D. I. Gurevich, P. N. Pyatov, P. A. Saponov. 1996-06-17. Hecke symmetries and characteristic relations on Reflection Equation algebras. https://arxiv.org/abs/q-alg/9605048

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