H-standard cohomology for Courant-Dorfman algebras and Leibniz algebras

Xiongwei Cai

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arXiv · 1612.05297

H-standard cohomology for Courant-Dorfman algebras and Leibniz algebras

Xiongwei Cai

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Abstract

We introduce the notion of H-standard cohomology for Courant-Dorfman algebras and Leibniz algebras, by generalizing Roytenberg's construction. Then we generalize a theorem of Ginot-Grutzmann on transitive Courant algebroids, which was conjectured by Stienon-Xu. The relation between H-standard complexes of a Leibniz algebra and the associated crossed product is also discussed.

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Xiongwei Cai. 2016-12-15. H-standard cohomology for Courant-Dorfman algebras and Leibniz algebras. https://arxiv.org/abs/1612.05297

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