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, d…