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

Grant number: 16/50475-3
Support type:Regular Research Grants
Duration: May 01, 2017 - April 30, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Cooperation agreement: Carleton University
Mobility Program: SPRINT - Projetos de pesquisa - Mobilidade
Principal Investigator:Vyacheslav Futorny
Grantee:Vyacheslav Futorny
Principal investigator abroad: Yuly Billig
Institution abroad: Carleton University, Canada
Home 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)