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Nov 29, 2009 at 6:59 comment added Theo Johnson-Freyd Possibly. If V is an algebraic group over k, are the left-translation equivariant differential operators then the divided-power universal enveloping algebra of Lie(<i>V</i>)?
Nov 29, 2009 at 4:37 comment added S. Carnahan I think the PD algebra can also be viewed as the ring of translation-equivariant algebraic differential operators on V. Then the duality of algebras you mentioned has something to do with the way both of them fit into the Weyl algebra.
Nov 29, 2009 at 0:37 history answered Theo Johnson-Freyd CC BY-SA 2.5