Irreducible modules over the Lie algebra of vector fields on a torus
Lie and Jordan algebras, their representations and generalizations
| Full text | |
| Author(s): |
Billig, Yuly
;
Futorny, Vyacheslav
Total Authors: 2
|
| Document type: | Journal article |
| Source: | JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK; v. 720, p. 199-216, NOV 2016. |
| Web of Science Citations: | 15 |
| Abstract | |
We solve a long standing problem of the classification of all simple modules with finite-dimensional weight spaces over Lie algebra of vector fields on n-dimensional torus for any n. This generalizes the classical result of O. Mathieu on simple weight modules for the Virasoro algebra (n = 1). Every such module is either of a highest weight type or is a quotient of a module of tensor fields on a torus, which was conjectured by Eswara Rao. (AU) | |
| FAPESP's process: | 12/14961-0 - Irreducible modules over the Lie algebra of vector fields on a torus |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 10/50347-9 - Algebras, representations e applications |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |