Abstract
Certain types of singular foliations on a manifold have Leibniz algebra structures on the space of multivector fields. Each of them has a structure of a central extension of a Lie algebra in the sense of Leibniz algebra. To a specific Leibniz cohomology class, there corresponds an isomorphism class of central extension of a Leibniz algebra similarly as in the case of Lie algebra.
Citation
Yohsuke Hagiwara. Tadayoshi Mizutani. "Leibniz algebras associated with foliations.." Kodai Math. J. 25 (2) 151 - 165, June 2002. https://doi.org/10.2996/kmj/1071674438
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