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The European Physical Journal B

ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)

Table of Contents

Abstract Volume 5 Issue 3 (1998) pp 697-703

Some remarks on Yang-Baxter algebras

T.T. Truong (a)

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

Received: 13 February 1998 / Revised: 16 March 1998 / Accepted: 17 April 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.

PACS. 02.20.+b Group theory - 05.50.+q Lattice theory and statistics; Ising problems

(a) email: truong@u-cergy.fr

Article in PDF format (300 KB)


Online publication: October 26, 1998
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