Extensions of L_infinity algebras of two even and one odd dimension

Abstract

In this article we study extensions of Z_2-graded L_infinity algebras on a vector space of two even and one odd dimension. In particular, we determine all extensions of a super Lie algebra as an L_infinity algebra. Our convention on the parities is the opposite of the usual one, because we define our structures on the symmetric coalgebra of the parity reversion of a space.

References in corpus (5)

• The Geometry of the Master Equation and Topological Quantum Field Theory
• Introduction to sh Lie algebras for physicists
• Courant Algebroids and Strongly Homotopy Lie Algebras
• The sh Lie structure of Poisson brackets in field theory
• Closed string field theory, strong homotopy Lie algebras and the operad actions of moduli space