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Universal enveloping algebras of Lie-Rinehart algebras as a left adjoint functor by Saracco, Paolo is a scholarly article available to read on EtoBox.

What is Universal enveloping algebras of Lie-Rinehart algebras as a left adjoint functor about?

We prove how the universal enveloping algebra constructions for Lie-Rinehart algebras and anchored Lie algebras are naturally left adjoint functors. This provides a conceptual motivation for the universal properties these constructions satisfy. As a supplement, the categorical approach offers new insights into the definitions of Lie-Rinehart algebra morphisms, of modules over Lie-Rinehart algebras and of the infinitesimal gauge algebra of a module.

Author

Saracco, Paolo

Published

2021

Language

EN