2016/07/27 by Ruipu Bai, Bai, Ruipu, Yansha Gao +3
Biochemistry, Genetics and Molecular Biology · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #Sphingolipid Metabolism and Signaling
paper · pdf · doi:10.48550/arxiv.1607.08276
openalex publication_date 2016/07/27 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
We study an extension algebra A from two given 3-Lie algebras M and H, and discuss the extensibility of a pair of derivations, one from the derivation algebra of M and the other from that of H, to a derivation of A. In particular, we give conditions for such an extension to be a 3-Lie algebra, and provide necessary and sufficient conditions of the pair of derivations to be extendable.