Lie superalgebras of vector fields and their representations

• Grant number: 22/00184-3
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: September 01, 2022
• End date: August 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Vyacheslav Futorny
• Grantee: Henrique de Oliveira Rocha
• Supervisor: Yuly Billig
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Carleton University, Canada
• Associated to the scholarship: 20/13811-0 - Representations of Lie Algebras of vector fields on algebraic varieties, BP.DR

Abstract

This is a research project on representation theory of Lie (super)algebras of polynomial vector fields on affine (super)algebraic varieties. The goals include the construction of Rudakov modules and gauge modules for such superalgebras, and the generalization to Lie superalgebras of recent results obtained for Lie 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)

BOUAZIZ, EMILE; ROCHA, HENRIQUE. Annihilators of AV-modules and differential operators. Journal of Algebra, v. 636, p. 19-pg., 2023-09-27. (22/00184-3, 20/13811-0)

ROCHA, HENRIQUE. Simplicity of the Lie superalgebra of vector fields. COMMUNICATIONS IN ALGEBRA, v. 53, n. 11, p. 5-pg., 2025-05-12. (20/13811-0, 22/00184-3)