Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras

2013/12/29 by Joakim Arnlind, Abdennour Kitouni, Arnlind, J. +5
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1312.7599

openalex publication_date 2013/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to compare the structure and the cohomology spaces of Lie algebras and induced 3-Lie algebras.

Related

• Extending structures for 3-Lie algebras
• Cohomologies of 3-Lie algebras with derivations
• Constructing 3-Lie algebras
• Lie algebra of an n-Lie algebra
• Product and complex structures on 3-Bihom-Lie algebras