English

Extensions of L_infinity algebras of two even and one odd dimension

Quantum Algebra 2007-05-23 v1 K-Theory and Homology

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.

Keywords

Cite

@article{arxiv.math/0403302,
  title  = {Extensions of L_infinity algebras of two even and one odd dimension},
  author = {Alice Fialowski and Michael Penkava},
  journal= {arXiv preprint arXiv:math/0403302},
  year   = {2007}
}