Parametrization of semi-dynamical quantum reflection algebra

Details Parametrization of semi-dynamical quantum reflection algebra Parametrization of semi-dynamical quantum reflection algebra

2006-11-07

arxiv.org/abs/math/0611184v2

Mathematics

Quantum Algebra

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

Scientific paper

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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