Leibniz algebras associated with foliations
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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.
- Kodai Mathematical Journal
Kodai Mathematical Journal 25(2), 151-165, 2002
Department of Mathematics, Tokyo Institute of Technology