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

2016/12/15 by Cai, Xiongwei
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1612.05297

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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