Nouvelles aventures au pays des q-analogues (Équation de Yang-Baxter)
Séminaire lotharingien de combinatoire, Tome 23 (1990)
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:
@article{SLC_1990_23_a0,
author = {Pierre Cartier},
title = {Nouvelles aventures au pays des q-analogues {(\'Equation} de {Yang-Baxter)}},
journal = {S\'eminaire lotharingien de combinatoire},
year = {1990},
volume = {23},
url = {http://geodesic.mathdoc.fr/item/SLC_1990_23_a0/}
}
Pierre Cartier. Nouvelles aventures au pays des q-analogues (Équation de Yang-Baxter). Séminaire lotharingien de combinatoire, Tome 23 (1990). http://geodesic.mathdoc.fr/item/SLC_1990_23_a0/