Lascoux, Alain Yin potential on the symmetric group. (Potential Yin sur le groupe symétrique.) (French) Zbl 0886.05116 Sémin. Lothar. Comb. 38, B38a, 12 p. (1996). Summary: Yang-Baxter equations involve putting parameters inside the braid relations for the symmetric group. They essentially reduce to the case of S(3) that can be represented as an hexagon with weights on edges depending upon two independent parameters. We propose instead to take four parameters and we show what those more general relations induce for a symmetric group of any order. We give a concrete realization of this construction in terms of the jeu de taquin on Young tableaux. Cited in 1 Document MSC: 05E10 Combinatorial aspects of representation theory 17B37 Quantum groups (quantized enveloping algebras) and related deformations Keywords:Yin potential; Yang-Baxter equations; braid relations; symmetric group; jeu de taquin; Young tableaux PDFBibTeX XMLCite \textit{A. Lascoux}, Sémin. Lothar. Comb. 38, B38a, 12 p. (1996; Zbl 0886.05116) Full Text: EuDML EMIS