×

Yin potential on the symmetric group. (Potential Yin sur le groupe symétrique.) (French) Zbl 0886.05116

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.

MSC:

05E10 Combinatorial aspects of representation theory
17B37 Quantum groups (quantized enveloping algebras) and related deformations
PDFBibTeX XMLCite
Full Text: EuDML EMIS