Representation Theory of Lie algebras of vector fields on smooth algebraic manifolds

• Grant number: 16/50475-3
• Support Opportunities: Regular Research Grants
• Start date: May 01, 2017
• End date: April 30, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Agreement: Carleton University
• Mobility Program: SPRINT - Projetos de pesquisa - Mobilidade
• Principal Investigator: Vyacheslav Futorny
• Grantee: Vyacheslav Futorny
• Principal researcher abroad: Yuly Billig
• Institution abroad: Carleton University, Canada
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 14/09310-5 - Algebraic structures and their representations, AP.TEM

Abstract

The project is devoted to the study of Lie and Jordan algebras and superalgebras and their representations. Besides, alternative and Malcev algebras and superalgebras will be considered, loop de Moufang, Calabi-Yau algebras, Yoneda algebras and various generalizations and quantizations of algebras mentioned above. The lines of the research project concentrate in the following topics - Lie algebras and their representations, quantum groups; Alternative and Jordan algebras and superalgebras and their generalizations; Identities, gradings and automorphisms, representations of associative algebras, applications and generalizations. (AU)