|
|||||
|
|
The trigonometric Grassmannian and a difference W-algebra |
|
| Authors: | Luc Haine Emil Horozov Plamen Iliev |
| Affiliation: | 1. Department of Mathematics, Université catholique de Louvain, Chemin du Cyclotron 2, 1348, Louvain-la-Neuve, Belgium 2. Department of Mathematics and Informatics, Sofia University, 5 J. Bourchier Blvd., 1126, Sofia, Bulgaria 3. Institute of Mathematics and Informatics, Bulg. Acad. of Sci. Acad., G. Bonchev Str., Block 8, 1113, Sofia, Bulgaria 4. School of Mathematics, Georgia Institute of Technology, Atlanta, GA, 30332-0160, USA |
| Abstract: | We introduce a W-algebra which is a central extension of the Lie algebra of difference operators with rational coefficients acting on functions of a discrete variable. We construct its natural fermionic and bosonic representations. We define a module over this difference W-algebra, which characterizes the trigonometric Calogero–Moser spaces. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |