Research Grants 16/50475-3 - Álgebras de Lie, Superálgebras de Lie - BV FAPESP
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Representation Theory of Lie algebras of vector fields on smooth algebraic manifolds

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)

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