$Q$-manifolds and Higher Analogs of Lie Algebroids

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.

arXiv comment12 pages. LaTeX2e

References in corpus (4)

• Higher derived brackets and homotopy algebras
• Courant algebroids, derived brackets and even symplectic supermanifolds
• Derived brackets
• Mackenzie theory and Q-manifolds

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