$Q$-manifolds and Higher Analogs of Lie Algebroids

Published 12 Oct 2010 in math.DG, hep-th, math-ph, and math.MP | (1010.2503v1)

Abstract: We show how the relation between $Q$-manifolds and Lie algebroids extends to higher'' ornon-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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Authors (1)

Theodore Th. Voronov

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