From $L_{\infty}$ -algebroids to higher Schouten/Poisson structures

preprint2010arXivOpen access

We show that $L_{\infty}$ -algebroids, understood in terms of Q-manifolds can be described in terms of certain higher Schouten and Poisson structures on graded (super)manifolds. This generalises known constructions for Lie (super)algebras and Lie algebroids.

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From $L_{\infty}$ -algebroids to higher Schouten/Poisson structures

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From $L_{\infty}$ -algebroids to higher Schouten/Poisson structures