Hopf algebroids associated to Jacobi algebras
arXiv:1311.4181 · doi:10.1142/S0219887814500923
Abstract
We give examples of Lie-Rinehart algebras whose enveloping algebra is not a full Hopf algebroid in the sense of Bohm and Szlachanyi. We construct these examples as quotients of a canonical Lie-Rinehart algebra over a Jacobi algebra which does admit an antipode.