Representations of W-algebras

• Grant number: 19/24494-9
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: March 01, 2020
• End date: June 30, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Alexandre Grichkov
• Grantee: Maria Clara Cardoso
• 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
• Associated scholarship(s): 21/10216-7 - Representations of W-algebras, BE.EP.DR

Abstract

The main goal of the project is a study of the Representation Theory of W-algebras. We are planning to obtain new classes of representations of W-algebras from known representations of Kac-Moody algebras, to develop the Gelfand-Tsetlin theory for W-algebras and Affine Kac-Moody algebras and apply the theory of Galois algebras para study of representations of both finite and affine W-algebras. (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)

CARDOSO, MARIA CLARA; FUTORNY, VYACHESLAV. AFFINE LIE ALGEBRA REPRESENTATIONS INDUCED FROM WHITTAKER MODULES. Proceedings of the American Mathematical Society, v. 151, n. 3, p. 13-pg., 2023-03-01. (19/24494-9, 18/23690-6)