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arXiv · 1010.2503

$Q$-manifolds and Higher Analogs of Lie Algebroids

Theodore Th. Voronov
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Abstract

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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Theodore Th. Voronov. 2010-10-12. $Q$-manifolds and Higher Analogs of Lie Algebroids. https://doi.org/10.1063/1.3527417

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