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arXiv · 1403.7159

Universal central extensions of Lie-Rinehart algebras

José Luis Castiglioni·Xabier García-Martínez·Manuel Ladra
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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.

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José Luis Castiglioni, Xabier García-Martínez, Manuel Ladra. 2014-03-27. Universal central extensions of Lie-Rinehart algebras. https://arxiv.org/abs/1403.7159

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