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Baxterization of Solutions to Reflection Equation with Hecke R-matrix
Authors:P. P. Kulish  A. I. Mudrov
Affiliation:(1) St.-Petersburg Department of Steklov Mathematical Institute, Fontanka 27, 191023 St.-Petersburg, Russia;(2) Department of Mathematics, University of York, Heslington, YO10 5DD, UK;(3) Emmy Noether Institute for Mathematics, 52900 Ramat Gan, Israel
Abstract:Let R be a Hecke solution to the Yang–Baxter equation and K be a reflection equation matrix with coefficients in an associative algebra $$mathcal{A}$$. Let R(x) be the baxterization of R and suppose that K satisfies a polynomial equation with coefficients in the center of $$mathcal{A}$$. We construct solutions to the reflection equation with spectral parameter relative to R(x), in the form of polynomials in K.
Keywords:Quantum group  affine Hecke algebra  reflection equation
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