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

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

2010-07-08

arxiv.org/abs/1007.1389v3

Rept.Math.Phys.67:157-177,2011

Physics

Mathematical Physics

23 pages. Paper reorganised, typos corrected, various improvements made and extra references added. To appear in Reports on Ma

Scientific paper

10.1016/S0034-4877(11)00010-3

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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