Title 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 1
SJR Quartile 1
JCR Impact 1.39400
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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