ON NILPOTENT AND SIMPLE LEIBNIZ ALGEBRAS

By Sergio Albeverio, Sh. A. Ayupov, Bakhrom Omirov. 2005

109 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3918040260ddcaf01799642fe4e1c5af50c738c8

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. Isamiddin S. Rakhimov
2. Bakhrom Omirov
3. Sergio Albeverio
4. J. A. Azcárraga
5. J. M. Izquierdo
6. D. W. Barnes
7. Y. Volkov
8. Ivan Kaygorodov

In Geometry and Topology

1. Isamiddin S. Rakhimov
2. Bakhrom Omirov
3. Sergio Albeverio
4. J. A. Azcárraga
5. J. M. Izquierdo
6. D. W. Barnes
7. Y. Volkov
8. Ivan Kaygorodov

In Mathematical Physics

1. Bakhrom Omirov
2. Sergio Albeverio
3. Isamiddin S. Rakhimov
4. J. A. Azcárraga
5. J. M. Izquierdo
6. Peter Kuchment

Citations in the corpus

• Classification of 4-dimensional nilpotent complex Leibniz algebras (2006, background): “…antisym m etric")analogueofLie algebrasand they wereintroduced by J.-L.Loday [8], asalgebraswhich satisfy the following identity: [x;[y;z]]= [[x;y];z] [[x;z];y]: They appeared toberelated in anaturalwaytoseveraltopicssuch asdi erential geom etry,hom…”
• n-ary algebras: a review with applications (2010, background): “Loday’s algebras, or Leibniz algebras [18–20] in Loday’s terminology (see also [145,146]), are a non-skewsymmetric ([X, Y ] 6= −[Y,X ]) version of Lie algebras.”