Baxterization of solutions to reflection equation with Hecke R-matrix

Details Baxterization of solutions to reflection equation with Hecke R-matrix Baxterization of solutions to reflection equation with Hecke R-matrix

2005-08-16

arxiv.org/abs/math/0508289v1

Mathematics

Quantum Algebra

22 pages

Scientific paper

10.1007/s11005-005-0043-5

Let $R$ be a Hecke solution to the Yang-Baxter equation and $K$ be a reflection equation matrix with coefficients in an associative algebra $\A$. Let $R(x)$ be the baxterization of $R$ and suppose that $K$ satisfies a polynomial equation with coefficients in the center of $\A$. We construct solutions to the reflection equation with spectral parameter relative to $R(x)$, in the form of polynomials in $K$.

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