Advanced search
Start date

Representations of twisted affine Lie Superalgebras and their quantizations

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


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)

News published in Agência FAPESP Newsletter about the scholarship:
Articles published in other media outlets (0 total):
More itemsLess items

Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
BEZERRA, LUAN; CALIXTO, LUCAS; FUTORNY, VYACHESLAV; KASHUBA, IRYNA. Representations of affine Lie superalgebras and their quantization in type A. Journal of Algebra, v. 611, p. 21-pg., . (20/14281-5, 21/14716-4, 18/23690-6)

Please report errors in scientific publications list by writing to: