Representations of hyper loop algebras and equivariant map algebras
Classification of the irregular minimal affinizations of type D
| Full text | |
| Author(s): |
Arakawa, Tomoyuki
;
Futorny, Vyacheslav
;
Ramirez, Luis Enrique
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Communications in Mathematical Physics; v. 353, n. 3, p. 1151-1178, AUG 2017. |
| Web of Science Citations: | 5 |
| Abstract | |
For an admissible affine vertex algebra V-k(g) of type A, we describe a new family of relaxed highest weight representations of V-k (g). They are simple quotients of representations of the affine Kac-Moody algebra (g) over cap induced from the following gmodules: (1) generic Gelfand-Tsetlin modules in the principal nilpotent orbit, in particular all such modules induced from sl(2); (2) all Gelfand-Tsetlin modules in the principal nilpotent orbit that are induced from sl(3); (3) all simple Gelfand-Tsetlin modules over sl(3). This in particular gives the classification of all simple positive energy weight representations of V-k(g) with finite dimensional weight spaces for g = sl(3). (AU) | |
| FAPESP's process: | 15/06469-6 - Representations of W-algebras |
| 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 |