Leibniz algebras associated with foliations
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.
Journal
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- Kodai Mathematical Journal
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Kodai Mathematical Journal 25 (2), 151-165, 2002
Department of Mathematics, Tokyo Institute of Technology
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Keywords
Details 詳細情報について
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- CRID
- 1390001205271335552
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- NII Article ID
- 130003574412
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- ISSN
- 18815472
- 03865991
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- MRID
- 1913522
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- Text Lang
- en
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed