Representations of hyper loop algebras and equivariant map algebras
Vertex constructions in representation theory of infinite dimensional Lie algebra.
Representations of Lie algebras of vector fields on algebraic varieties
| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estatist, Sao Paulo, SP - Brazil
[2] Univ Texas Arlington, Arlington, TX 76019 - USA
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | LETTERS IN MATHEMATICAL PHYSICS; v. 105, n. 4, p. 483-502, APR 2015. |
| Web of Science Citations: | 2 |
| Abstract | |
We use localization technique to construct new families of irreducible modules of affine Kac-Moody algebras. In particular, localization is applied to the first free field realization of the affine Lie algebra or, equivalently, to imaginary Verma modules. (AU) | |
| FAPESP's process: | 12/02459-8 - Vertex constructions in representation theory of infinite dimensional Lie algebra. |
| Grantee: | Renato Alessandro Martins |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 11/21621-8 - Representations of Lie (super)algebras of vector fields |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 14/09310-5 - Algebraic structures and their representations |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Projects - Thematic Grants |