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A Lie-Rinehart algebra with no antipode

Quantum Algebra 2013-09-02 v1

Abstract

The aim of this note is to communicate a simple example of a Lie-Rinehart algebra whose enveloping algebra is not a Hopf algebroid in the sense of Boehm and Szlachanyi.

Keywords

Cite

@article{arxiv.1308.6770,
  title  = {A Lie-Rinehart algebra with no antipode},
  author = {Ulrich Kraehmer and Ana Rovi},
  journal= {arXiv preprint arXiv:1308.6770},
  year   = {2013}
}

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4 pages