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
• Start date: December 01, 2015
• End date: 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.

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, FEB 2019. (15/15901-9)