Séminaire Lotharingien de Combinatoire, B23a (1990), 28 pp.
[Formerly: Publ. I.R.M.A. Strasbourg, 1993, 460/S-23, p. 5-37.]

Pierre Cartier

Nouvelles aventures au pays des q-analogues (Équation de Yang-Baxter)

Abstract. The purpose of this paper is to give an introduction to the methods of Statistical Mechanics, to derive the relations between the Yang-Baxter equation, the Hecke algebra and the braid group. The underlying q-calculus involves an algebra of non-commutative polynomials in two variables x, y such that yx = qxy.

Pierre Cartier, E.N.S., 45 rue d'Ulm, Paris

The following versions are available: