Cartan subalgebras, weight spaces, and criterion of solvability of finite dimensional Leibniz algebras.
Albeverio, Sergio A. ; Ayupov, Shavkat, A. ; Omirov, Bakhrom A.
Revista Matemática de la Universidad Complutense de Madrid, Tome 19 (2006), p. 183-195 / Harvested from Biblioteca Digital de Matemáticas
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In this work the properties of Cartan subalgebras and weight spaces of finite dimensional Lie algebras are extended to the case of Leibniz algebras. Namely, the relation between Cartan subalgebras and regular elements are described, also an analogue of Cartan s criterion of solvability is proved.

Publié le : 2006-01-01
DMLE-ID : 3459 
@article{urn:eudml:doc:40883,
     title = {Cartan subalgebras, weight spaces, and criterion of solvability of finite dimensional Leibniz algebras.},
     journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
     volume = {19},
     year = {2006},
     pages = {183-195},
     zbl = {1128.17001},
     mrnumber = {MR2219828},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40883}
}

Albeverio, Sergio A.; Ayupov, Shavkat, A.; Omirov, Bakhrom A. Cartan subalgebras, weight spaces, and criterion of solvability of finite dimensional Leibniz algebras.. Revista Matemática de la Universidad Complutense de Madrid, Tome 19 (2006) pp. 183-195. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40883/