Matrices de Manin et systeme de Gaudin elliptique quantique

by Volodia Roubsov (Univ. d'Angers)

Thursday 9 Apr 2009, 11:00 → 12:00 Europe/Zurich

Laboratoire d'Anncey-le-Vieux de Physique TheoriqueAuditorium (Laboratoire d'Anncey-le-Vieux de Physique Theorique)

We give a short linear algebra review and main properties of Manin matrices. We construct a quadratic elliptic dynamical RLL algebra wih Felder R- elliptic matrix and show that L is a Manin matrix. Then we obtain a quasi-commutative family family from minors of L and construct a quantum spectral curve for the quantum elliptic gln Gaudin model. We revise the Spearation of Variables in the case of the gl2 model.