$Q$-manifolds and Higher Analogs of Lie Algebroids

Details $Q$-manifolds and Higher Analogs of Lie Algebroids $Q$-manifolds and Higher Analogs of Lie Algebroids

2010-10-12

arxiv.org/abs/1010.2503v1

AIP Conf.Proc.1307:191-202,2010

Mathematics

Differential Geometry

12 pages. LaTeX2e

Scientific paper

10.1063/1.3527417

We show how the relation between $Q$-manifolds and Lie algebroids extends to
``higher'' or ``non-linear'' analogs of Lie algebroids. We study the identities
satisfied by a new algebraic structure that arises as a replacement of
operations on sections of a Lie algebroid. When the base is a point, we obtain
a generalization of Lie superalgebras.

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