Cartan subalgebras, weight spaces, and criterion of solvability of finite dimensional Leibniz algebras.

Albeverio, Sergio A., Ayupov, Shavkat, A. 2, and Omirov, Bakhrom A.. "Cartan subalgebras, weight spaces, and criterion of solvability of finite dimensional Leibniz algebras.." Revista Matemática Complutense 19.1 (2006): 183-195. <http://eudml.org/doc/40883>.

@article{Albeverio2006,
abstract = {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.},
author = {Albeverio, Sergio A., Ayupov, Shavkat, A. 2, Omirov, Bakhrom A.},
journal = {Revista Matemática Complutense},
keywords = {Anillos no asociativos; Algebra de Lie; Leibniz algebras; Cartan subalgebras; weight spaces},
language = {eng},
number = {1},
pages = {183-195},
title = {Cartan subalgebras, weight spaces, and criterion of solvability of finite dimensional Leibniz algebras.},
url = {http://eudml.org/doc/40883},
volume = {19},
year = {2006},
}

TY - JOUR
AU - Albeverio, Sergio A.
AU - Ayupov, Shavkat, A. 2
AU - Omirov, Bakhrom A.
TI - Cartan subalgebras, weight spaces, and criterion of solvability of finite dimensional Leibniz algebras.
JO - Revista Matemática Complutense
PY - 2006
VL - 19
IS - 1
SP - 183
EP - 195
AB - 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.
LA - eng
KW - Anillos no asociativos; Algebra de Lie; Leibniz algebras; Cartan subalgebras; weight spaces
UR - http://eudml.org/doc/40883
ER -