Title (Pseudo) digraphs and Leibniz algebra isomorphisms
Authors CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F.
External publication No
Scope Article
Nature Científica
JCR Quartile 2
SJR Quartile 1
JCR Impact 1.533
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\n Leibniz algebras, determining in detail this fact when using (psuedo)\n digraphs of 2 and 3 vertices associated with Leibniz algebras according\n to their isomorphism classes. Moreover, we give the complete list with\n all the combinatorial structures of 3 vertices associated with Leibniz\n algebras, studying their isomorphism classes. We also compare our\n results with the current classifications of 2- and 3-dimensional Leibniz\n algebras. Finally, we introduce and implement the algorithmic procedure\n used for our goals and devoted to decide if a given combinatorial\n structure is associated or not with a Leibniz algebra.
Keywords algorithm; combinatorial structure; isomorphism class; Leibniz algebra; (pseudo) digraph
Universidad Loyola members

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