On $A_{n-1}^{(1)},B_{n}^{(1)}, C_{n}^{(1)}, D_{n}^{(1)},A_{2n}^{(2)}, A_{2n-1}^{(2)}$ and $D_{n+1}^{(2)}$ Reflection $K$-Matrices

Details On $A_{n-1}^{(1)},B_{n}^{(1)}, C_{n}^{(1)}, D_{n}^{(1)},A_{2n}^{(2)}, A_{2n-1}^{(2)}$ and $D_{n+1}^{(2)}$ Reflection $K$-Matrices On $A_{n-1}^{(1)},B_{n}^{(1)}, C_{n}^{(1)}, D_{n}^{(1)},A_{2n}^{(2)}, A_{2n-1}^{(2)}$ and $D_{n+1}^{(2)}$ Reflection $K$-Matrices

2004-12-21

arxiv.org/abs/nlin/0412058v5

J.Stat.Mech.0609:P09013,2006

Nonlinear Sciences

Exactly Solvable and Integrable Systems

58 pages, revised version, references added, LaTex

Scientific paper

10.1088/1742-5468/2006/09/P09013

We present the classification of the most general regular solutions to the
boundary Yang-Baxter equations for vertex models associated with
non-exceptional affine Lie algebras. Reduced solutions found by applying a
limit procedure to the general solutions are discussed. We also present the
list of diagonal $K$-matrices. Special cases are considered separately.

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