Séminaire Lotharingien de Combinatoire, B38a (1996), 12 pp.

Alain Lascoux

Potentiel Yin sur le groupe symétrique

Abstract. 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.

Received: October 24, 1996; Accepted: October 31, 1996.

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