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Jul 28, 2010 at 15:24 comment added Mariano Suárez-Álvarez The Weyl algebra is a PBW deformation of the symmetric algebra.
Jul 28, 2010 at 15:19 comment added user717 I missed a point in my first comment: Is $\xi$ in the case of the Weyl algebra still an isomorphism? If so, then is the restriction to the particular $\kappa$ just something to make life simpler when considering deformations of $S(V) \sharp \mathbb{C} G$? As for the pedantic point: Perhaps I could have just summarized this in the question "what precisely is the vector space isomorphism $\mathrm{S}(V) \otimes \mathbb{C}G \rightarrow A$ the PBW-property induces"? Is it unique?
Jul 28, 2010 at 15:18 history edited Mariano Suárez-Álvarez CC BY-SA 2.5
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Jul 28, 2010 at 15:07 history edited Mariano Suárez-Álvarez CC BY-SA 2.5
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Jul 28, 2010 at 15:02 history answered Mariano Suárez-Álvarez CC BY-SA 2.5