Title (Pseudo) digraphs and Leibniz algebra isomorphisms
Authors CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan, Tenorio, Angel F., CEBALLOS GONZÁLEZ, MANUEL
External publication No
Means Math. Meth. Appl. Sci.
Scope Article
Nature Científica
JCR Quartile 2
SJR Quartile 1
JCR Impact 1.53300
Area International
Web https://www.scopus.com/inward/record.uri?eid=2-s2.0-85062603456&doi=10.1002%2fmma.5064&partnerID=40&md5=1bc4f399af71713745fd7d8386e2cb35
Publication date 30/11/2018
ISI 000452611200031
Scopus Id 2-s2.0-85062603456
DOI 10.1002/mma.5064
Abstract This paper studies the link between isomorphic digraphs and isomorphic Leibniz algebras, determining in detail this fact when using (psuedo) digraphs of 2 and 3 vertices associated with Leibniz algebras according to their isomorphism classes. Moreover, we give the complete list with all the combinatorial structures of 3 vertices associated with Leibniz algebras, studying their isomorphism classes. We also compare our results with the current classifications of 2- and 3-dimensional Leibniz algebras. Finally, we introduce and implement the algorithmic procedure used for our goals and devoted to decide if a given combinatorial structure is associated or not with a Leibniz algebra.
Keywords algorithm; combinatorial structure; isomorphism class; Leibniz algebra; (pseudo) digraph
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