2021arXiv (Cornell University)Open access

Refection Matrices for the (n+1)(2n+1)- Vertex Models: Diagonal Solutions

A. Lima-Santos

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Abstract

We have find the diagonal K matrix solutions of the reflection equations for a class of vertex models. These models have (n+1)(2n+1) vertices and are defined as two set of (n + 1) R matrices, solutions of the equations of Yang-Baxter equations. For a given value of \text{n} we find n!-\frac{1}{2}(n-2)(n-1) K diagonal matrices.

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We have find the diagonal K matrix solutions of the reflection equations for a class of vertex models. These models have (n+1)(2n+1) vertices and are defined as two set of (n + 1) R matrices, solutions of the equations of Yang-Baxter equations. For a given value of \text{n} we find n!-\frac{1}{2}(n-2)(n-1) K diagonal matrices.

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Available abstract

We have find the diagonal K matrix solutions of the reflection equations for a class of vertex models. These models have (n+1)(2n+1) vertices and are defined as two set of (n + 1) R matrices, solutions of the equations of Yang-Baxter equations. For a given value of \text{n} we find n!-\frac{1}{2}(n-2)(n-1) K diagonal matrices.

Key concepts: Diagonal, Vertex (graph theory), Combinatorics, Diagonal matrix, Mathematics, Computer science, Geometry, Graph

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