Poisson and Hochschild cohomology and the semiclassical limit

Matthew Towers (University of Kent)

Wednesday 11th December, 2013 16:00-17:00 Maths 204


Let $A$ be a $k(q)$-algebra with PBW basis of polynomial type admitting a semiclassical limit.  I will show how to consider the ordinary enveloping algebra $A^e$ of $A$ as a deformation of the Poisson enveloping algebra of its semiclassical limit and use this to investigate the relationship between Hochschild cohomology and Poisson cohomology in this setting.  The talk will be based on my preprint http://arxiv.org/abs/1304.6003

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