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
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