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Derived bracket formalism in algebra and geometry and Gelfand-Tsetlin modules for Lie superalgebras

Grant number: 15/15901-9
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Effective date (Start): December 01, 2015
Effective date (End): January 25, 2017
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal Investigator:Vyacheslav Futorny
Grantee:Elizaveta Gennadievna Vishnyakova
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 main objective of the proposed research project is to develop derived bracket formalism in algebra and geometry and to the study of Gelfand-Tsetlin modules for Lie superalgebras. More precisely, we will study Lie k-algebras, bialgebras, strongly homotopy superalgebras, the Tits-Kantor-Koecher construction for invariant Jordan superalgebras, applications of homological vector fields, double and n-fold Lie algebroids.

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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)
VISHNYAKOVA, ELIZAVETA. Graded manifolds of type and n-fold vector bundles. LETTERS IN MATHEMATICAL PHYSICS, v. 109, n. 2, p. 243-293, . (15/15901-9)

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