Representation Theory of Lie algebras of vector fields on smooth algebraic manifolds
Lie superalgebras of vector fields and their representations
Structures, representations, and applications of algebraic systems
| Grant number: | 20/14281-5 |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| Effective date (Start): | May 01, 2021 |
| Effective date (End): | April 30, 2023 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Principal Investigator: | Iryna Kashuba |
| Grantee: | Luan Pereira Bezerra |
| Host Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
| Associated research grant: | 18/23690-6 - Structures, representations, and applications of algebraic systems, AP.TEM |
Abstract The main objective of this postdoctoral project is to study the representations of symmetrizable twisted affine Lie Superalgebras and, in particular, to develop the theory of Verma modules and generalized Verma modules for these algebras. In addition, we intend to extend the results to the quantum case and study the representations of the finite W-Superalgebras obtained through the Hamiltonian reduction of the Lie Superalgebras. (AU) | |
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