(Pseudo)digraphs and Leibniz algebra isomorphisms. (16th May 2018)

• Record Type: Journal Article
• Authors: Ceballos, Manuel; Núñez, Juan; Tenorio, Ángel F.
• Other Names: Aguiar Jesus Vigo guestEditor.; Rubio Raquel Garcia guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 41:Number 17(2018)
• Page Start: 7481
• Page End: 7497
• Publication Date: 2018-05-16
• Subjects: algorithm -- combinatorial structure -- isomorphism class -- Leibniz algebra -- (pseudo)digraph; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.5064
• Languages: English
• ISSNs: 0170-4214

Abstract

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.