Статья

Cartan Subalgebras, Weight Spaces, and Criterion of Solvability of Finite Dimensional Leibniz Algebras

Sergio AlbeverioUniversity of BonnShavkat AyupovInstitute of Mathematics Uzbekistan Academy of Science F. Hodjaev str. 29 700143, Tashkent -UzbekistanB. A. OmirovInstitut für Angewandte Mathematik Universität Bonn Wegelstr. 6 D-53115 Bonn -Germany

Revista Matemática Complutensejournal2006en

ABI

Аннотация

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.

Темы

Advanced Topics in Algebra Algebraic structures and combinatorial models Finite Group Theory Research

Идентификаторы

DOI: 10.5209/rev_rema.2006.v19.n1.16652

Цитирования и источники

Цитирований: 14 Использованных источников: 11

Показатели — AkademScholar · Скоро