2014/03/27 by José Luis Castiglioni, Castiglioni, José Luis, Xabier García‐Martínez +5
Biochemistry, Genetics and Molecular Biology · Mathematics · #17B55 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Sphingolipid Metabolism and Signaling #math.RA #msc:17B55
paper · pdf · doi:10.48550/arxiv.1403.7159
23 pages
arxiv created 2014/03/27 · openalex publication_date 2014/03/27 · arxiv updated 2014/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02
In this paper we study the universal central extension of a Lie--Rinehart algebra and we give a description of it. Then we study the lifting of automorphisms and derivations to central extensions. We also give a definition of a non-abelian tensor product in Lie--Rinehart algebras based on the construction of Ellis of non-abelian tensor product of Lie algebras. We relate this non-abelian tensor product to the universal central extension.