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

By Sergio Albeverio, Sh. A. Ayupov, Bakhrom Omirov. 2006

51 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/e2681054ec0d4239eab1226e4721e340a353ebaa

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. José Manuel Casas
2. Manuel Ladra
3. I. Karimjanov
4. İsmail Demi̇r
5. Kailash C. Misra
6. E. Stitzinger
7. Bakhrom Omirov
8. D. W. Barnes

In Discrete Mathematics and Combinatorics

1. İsmail Demi̇r
2. Kailash C. Misra
3. E. Stitzinger
4. I. Karimjanov
5. José Manuel Casas
6. Bakhrom Omirov
7. Manuel Ladra

In Geometry and Topology

1. José Manuel Casas
2. Manuel Ladra
3. İsmail Demi̇r
4. Kailash C. Misra
5. E. Stitzinger
6. I. Karimjanov
7. Bakhrom Omirov
8. D. W. Barnes

Citations in the corpus

• ON SOME STRUCTURES OF LEIBNIZ ALGEBRAS (2013, methodology): “Now we have the following analogue of Cartan’s criterion for Leibniz algebras which is given in [2].”
• Classification of solvable Leibniz algebras with null-filiform nilradical (2012, result): “For instance, the classical results on Cartan subalgebras, regular elements and others from the theory of Lie algebras are also true for Leibniz algebras 1 , 14 .”