Date/heure
7 novembre 2024
14:15 - 15:15
Oratrice ou orateur
Kenny de Commer
Catégorie d'évènement Séminaire Théorie de Lie, Géométrie et Analyse
Résumé
Let G be a semisimple real Lie group with Lie algebra g. We will show how the universal enveloping algebra U(g) naturally fits into a one-parameter family of algebras U_q(g) with interesting structure. Any of these algebras U_q(g) moreover allows for an associated C*-algebra, whose representation category closely resembles that of G. We mainly explain these ideas and results in the concrete case of SL(2,R). This is based on joint work with Joel Right Dzokou Talla.