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Publicaciones

Finite-dimensional Leibniz algebras and combinatorial structures

Authors

CEBALLOS GONZÁLEZ, MANUEL, Nunez, J. , Tenorio, A. F.

External publication

No

Means

Commun. Contemp. Math.

Scope

Article

Nature

Científica

JCR Quartile

✓

SJR Quartile

✓

JCR Impact

1.394

Web

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84994633258&doi=10.1142%2fS0219199717500043&partnerID=40&md5=d5956a0efa40ae04514362c6f9e6ae1b

Publication date

01/02/2018

ISI

000413441800006

Scopus Id

2-s2.0-84994633258

DOI

10.1142/S0219199717500043

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.

Keywords

Digraph; pseudodigraph; combinatorial structure; Leibniz algebra; Lie algebra

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