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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