Yang-Baxter solutions from commuting operators

Abstract

We construct $R$-matrices (with a multidimensional spectral parameter) that include additive as well as non-additive parameters. They satisfy the colored Yang-Baxter equation. The solutions depend on a set of commuting operators. They change with the representation of the latter. The associated Yang-Baxter algebra and the spectrum of the transfer matrix are also studied.

arXiv comment25 pages, v3 shortened version, includes only the new multi-parameter and non-regular R-matrices