Parametrization of semi-dynamical quantum reflection algebra
Abstract
We construct sets of structure matrices for the semi-dynamical reflection algebra, solving the Yang-Baxter type consistency equations extended by the action of an automorphism of the auxiliary space. These solutions are parametrized by dynamical conjugation matrices, Drinfel'd twist representations and quantum non-dynamical R-matrices. They yield factorized forms for the monodromy matrices.
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