Leibniz algebras associated with foliations.

Hagiwara, Yohsuke; Mizutani, Tadayoshi

Kodai Math. J., Tome 25 (2002) no. 2, p. 151-165 / Harvested from Project Euclid

Résumé

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.

Publié le : 2002-06-14
Classification:

@article{1071674438,
     author = {Hagiwara, Yohsuke and Mizutani, Tadayoshi},
     title = {Leibniz algebras associated with foliations.},
     journal = {Kodai Math. J.},
     volume = {25},
     number = {2},
     year = {2002},
     pages = { 151-165},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1071674438}
}

Hagiwara, Yohsuke; Mizutani, Tadayoshi. Leibniz algebras associated with foliations.. Kodai Math. J., Tome 25 (2002) no. 2, pp.  151-165. http://gdmltest.u-ga.fr/item/1071674438/