Journal of Mathematical Sciences

, Volume 143, Issue 1, pp 2773–2790

# Factorization of the R-matrix. I

• S. E. Derkachov
Article

## Abstract

We study the general rational solution of the Yang-Baxter equation with the symmetry algebra sℓ(3). The R-operator which acts in the tensor product of two arbitrary representations of the symmetry algebra can be represented as a product of simpler “building blocks,” R-operators. The R-operators are constructed explicitly and have a simple structure. In such a way, we construct the general rational solution of the Yang-Baxter equation with the symmetry algebra s sℓ(3). To illustrate the factorization in the simplest situation, we treat also the sℓ(2) case. Bibliography: 23 titles.

## Keywords

Tensor Product Invariant Subspace Symmetry Algebra Casimir Operator Invariant Solution
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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