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Lie Superalgebras of Vector Fields and their Representations

Grant number: 22/00184-3
Support type:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): September 01, 2022
Effective date (End): August 31, 2023
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal researcher:Vyacheslav Futorny
Grantee:Henrique de Oliveira Rocha
Supervisor abroad: Yuly Billig
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Research place: 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.

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