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arXiv · 1507.00972

Automorphisms of Strong Homotopy Lie Algebras of Local Observables

Patricia Ritter·Christian Saemann
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Abstract

There is a well-established procedure of assigning a strong homotopy Lie algebra of local observables to a multisymplectic manifold which can be regarded as part of a categorified Poisson structure. For a 2-plectic manifold, the resulting Lie 2-algebra is isomorphic to a sub Lie 2-algebra of a natural Lie 2-algebra structure on an exact Courant algebroid. We generalize this statement to arbitrary n-plectic manifolds and study automorphisms on the arising Lie n-algebras. Our observations may be useful in studying the quantization problem on multisymplectic manifolds.

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Patricia Ritter, Christian Saemann. 2015-07-03. Automorphisms of Strong Homotopy Lie Algebras of Local Observables. https://arxiv.org/abs/1507.00972

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