Séminaire de Physique Théorique

Coideal sub-algebras of quantum groups in Drinfel'd second realization
Samuel Belliard (Montpellier)
Wednesday 13 March 2013 12:45 -  Tours -  Salle 1180 (Bât E2)

Résumé :
The coideal sub-algebras, or reflection algebras, of quantum groups in Drinfel'd second realization will be presented. We will focus on the simple case where the quantum group is the quantum affine Lie algebra of sl(2). We will show that the classical limit of the previous example leads to the famous Onsager algebra used in his resolution of the two dimensional Ising model. Then we will discuss how this construction can be extended to other quantum groups and also the applications of this new realization of coideal algebras to study quantum integrable models with boundary.

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