Statut  Confirmé 
Série  STRLPTENSHE 
Domaines  hepth 
Date  Mardi 16 Octobre 2018 
Heure  11:35 
Institut  LPTENS 
Salle  LPTENS library 
Nom de l'orateur  Gepner 
Prenom de l'orateur  Doron 
Addresse email de l'orateur  
Institution de l'orateur  Weizmann 
Titre  Three block solvable lattice models and BirmanMurakamiWenzl algebra 
Résumé  We treat in this talk interaction round the face (IRF) solvable lattice models. We study the algebraic structures underlining such models. For the three block case, we show that the Yang Baxter equation is obeyed, if and only if, the BirmanMurakamiWenzl (BMW) algebra is obeyed. We prove this by an algebraic expansion of the Yang Baxter equation (YBE). For four blocks IRF models, we show that the BMW algebra is also obeyed, apart from the Skein relation, which is different. This indicates that the BMW algebra is a subalgebra for all models with three or more blocks. We find additional relations for the four block algebra using the expansion of the YBE, but we still do not know all the relations of this algebra. The four blocks result, that is the BMW algebra and the four blocks Skein relation, is enough to define new knot polynomials, important in knot theory. 
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