Eur. Phys. J. B 5, 697-703 (1998)
https://doi.org/10.1007/s100510050493

Some remarks on Yang-Baxter algebras^*

Laboratoire de Physique Théorique et Modélisation, Université de Cergy-Pontoise, 95302, Cergy-Pontoise Cedex, France

Corresponding author: ^a truong@u-cergy.fr

Received: 13 February 1998
Revised: 16 March 1998
Accepted: 17 April 1998
Published online: 15 October 1998

Abstract

We point out the existence of an alternative algebraic structure in Yang-Baxter algebra with trigonometric R-matrix, which appears to be the generalization of the Yangian in Yang-Baxter algebras with rational R-matrix and which is described most naturally by q-commutators. Some properties are presented, in particular in the case of the well-known symmetric six-vertex model.