Lie-Rinehart algebras, Hopf algebroids with and without an antipode.
Ana Rovi (University of Glasgow)
Wednesday 12th March, 2014 16:00-17:00 Maths 204
Through the process of horizontal categorification (or oidification), Lie groups become Lie groupoids, Lie algebras become Lie algebroids (Lie-Rinehart algebras) and Hopf algebras correspond to Hopf algebroids. Since the enveloping algebra of a Lie algebra is a Hopf algebra, it is a natural question whether the enveloping algebra of a Lie-Rinehart algebra carries the structure of a Hopf algebroid. In this talk I will give some background on these structures, and will give an examples of Hopf algebroids without an antipode. Some of these examples and results are joint work with Uli Kraehmer.