Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Leibniz algebras associated with foliations
Yohsuke HagiwaraTadayoshi Mizutani
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2002 年 25 巻 2 号 p. 151-165

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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.
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© Department of Mathematics, Tokyo Institute of Technology
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