The algebraic and geometric classification of nilpotent binary Lie algebras-Reference-Cited by-同舟云学术

The algebraic and geometric classification of nilpotent binary Lie algebras

Published:2019-08-26 Issue:06 Volume:29 Page:1113-1129
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Abdelwahab Hani¹,Calderón Antonio Jesús²,Kaygorodov Ivan³

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Mansoura University, Mansoura, Egypt

2. Department of Mathematics, Faculty of Sciences, University of Cadiz, Cadiz, Spain

3. CMCC, Universidade Federal do ABC. Santo André, Brasil

Abstract

We give a complete algebraic classification of nilpotent binary Lie algebras of dimension at most 6 over an arbitrary field of characteristic not 2 and a complete geometric classification of nilpotent binary Lie algebras of dimension 6 over [Formula: see text]. As an application, we give an algebraic and geometric classification of nilpotent anticommutative [Formula: see text]-algebras of dimension at most 6.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196719500437

Reference19 articles.

1. The classification of n-dimensional anticommutative algebras with (n − 3)-dimensional annihilator

2. Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2

3. Classification of nilpotent associative algebras of small dimension

4. Binary lie algebras without strong zero divisors

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