Representations of twisted affine Lie Superalgebras and their quantizations

• Grant number: 20/14281-5
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: May 01, 2021
• End date: 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)

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., 2022-12-01. (20/14281-5, 21/14716-4, 18/23690-6)