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.

LaTeX, 24 pages. Misprints corrected, comments added in Conclusion on construction of Hamiltonians

References in corpus (1)

• Classification of the solutions of constant rational semi-dynamical reflection equations

Cited by in corpus (4)

• A new dynamical reflection algebra and related quantum integrable systems
• Associative Yang-Baxter equation for quantum (semi-)dynamical R-matrices
• On the semi-dynamical reflection equation: solutions and structure matrices
• Higher rank generalization of 11-vertex rational R-matrix: IRF-Vertex relations and associative Yang-Baxter equation