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D_{n+1}^(2) Reflection K-matrices

A. Lima-Santos
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Abstract

We investigate the possible regular solutions of the boundary Yang-Baxter equation for the vertex models associated to the D_{n+1}^(2) affine Lie algebra. We have classified them in terms of three types of K-matrices. The first one have n+2 free parameters and all the matrix elements are non-null. The second solution is given by a block diagonal matrix with just one free parameter. It turns out that for n even there exists a third class of K-matrix withou free parameter.

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A. Lima-Santos. 2001-04-25. D_{n+1}^(2) Reflection K-matrices. https://doi.org/10.1016/s0550-3213(01)00345-5

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