| Orateur(s) | Yuly BILLIG - Carleton University, Ottawa,
|
| Titre | Irreducible representations for the Lie algebra of vector fields on a torus. |
| Date | 07/12/2012 |
| Horaire | 11:00 à 12:00 |
|
| Diffusion | |
| Résume | The goal of this talk is to construct irreducible bounded weight modules for the Lie algebra of vector fields on a torus. These modules have a weight decomposition with finite-dimensional weight spaces and possess the property that the energy operator has spectrum bounded from below. We use vertex operator methods to give explicit realizations for a family of such representations.
The modules in this family are irreducible unless they belong to the chiral de Rham complex, introduced by Malikov, Schechtman and Vaintrob.
This is a joint work with Slava Futorny. |
| Salle | 175 rue du Chevaleret - 75013 Paris |
| Adresse | |
