Universal central extensions of Lie-Rinehart algebras
Rings and Algebras
2014-03-28 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1403.7159,
title = {Universal central extensions of Lie-Rinehart algebras},
author = {José Luis Castiglioni and Xabier García-Martínez and Manuel Ladra},
journal= {arXiv preprint arXiv:1403.7159},
year = {2014}
}
Comments
23 pages