Finite-dimensional Leibniz algebras and combinatorial structures-Reference-Cited by-同舟云学术

Finite-dimensional Leibniz algebras and combinatorial structures

Published:2017-10-23 Issue:01 Volume:20 Page:1750004
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Ceballos M.¹,Núñez J.²,Tenorio Á. F.³

Affiliation:

1. Departamento de Matemáticas e Ingeniería, Universidad Loyola Andalucía, Campus Palmas Altas, C/ Energía Solar 1, Ed. E, 41014-Seville, Spain

2. Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, Calle Tarfia, s/n. 41012-Seville, Spain

3. Departamento de Economía, Métodos Cuantitativos e Historia Económica, Escuela Politécnica Superior, Universidad Pablo de Olavide, Ctra. Utrera km. 1, 41013-Seville, Spain

Abstract

Given a finite-dimensional Leibniz algebra with certain basis, we show how to associate such algebra with a combinatorial structure of dimension 2. In some particular cases, this structure can be reduced to a digraph or a pseudodigraph. In this paper, we study some theoretical properties about this association and we determine the type of Leibniz algebra associated to each of them.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199717500043

Reference14 articles.

1. ON LEVI’S THEOREM FOR LEIBNIZ ALGEBRAS

2. Solvable Leibniz Algebras with Heisenberg Nilradical

3. On split Leibniz algebras

4. Combinatorial structures associated with Lie algebras of finite dimension

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