A Lie-Rinehart algebra with no antipode

Krähmer, U. and Rovi, A. (2015) A Lie-Rinehart algebra with no antipode. Communications in Algebra, 43(10), pp. 4049-4053. (doi: 10.1080/00927872.2014.896375)

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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 Bohm and Szlachanyi.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Rovi, Ms Ana and Kraehmer, Dr Ulrich
Authors: Krähmer, U., and Rovi, A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Communications in Algebra
Publisher:Taylor & Francis
ISSN (Online):1532-4125
Copyright Holders:Copyright © 2015 The Authors
First Published:First published in Communications in Algebra 43(10):4049-4053
Publisher Policy:Reproduced under a Creative Commons License
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
586201Homological algebra in monoidal categories: From Hopf algebroids to operads and back.Ulrich KraehmerEngineering & Physical Sciences Research Council (EPSRC)EP/J012718/1M&S - MATHEMATICS