On one ansatz for sl_2-invariant R-matrices
Quantum Algebra
2009-11-19 v1 Strongly Correlated Electrons
Abstract
The spectral decomposition of regular sl_2-invariant R-matrices R(lambda) is studied by means of the method of reduction of the Yang-Baxter equation onto subspaces of a given spin. Restrictions on the possible structure of several highest coefficients in the spectral decomposition are derived. The origin and structure of the exceptional solution in the case of spin s=3 are explained. Analogous analysis is performed for constant R--matrices. In particular, it is shown that the permutation matrix P is a ``rigid'' solution.
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Cite
@article{arxiv.math/0609519,
title = {On one ansatz for sl_2-invariant R-matrices},
author = {Andrei Bytsko},
journal= {arXiv preprint arXiv:math/0609519},
year = {2009}
}
Comments
LaTeX2e, 14 pages