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Feb 6, 2017 at 20:59 vote accept Lewis Topley
Feb 6, 2017 at 20:40 comment added Lewis Topley Thanks a lot, I see that these modules aren't finitely generated over $S(\mathfrak{g})$
Feb 6, 2017 at 20:36 history edited Ben Webster CC BY-SA 3.0
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Feb 6, 2017 at 20:32 comment added Ben Webster @LewisTopley Adding "reduced" doesn't help. These examples are quotients of $\mathrm{Sym}(\mathfrak{g})$.
Feb 6, 2017 at 20:30 comment added Lewis Topley Thanks for pointing that out. As I say I'm especially interested in the case where $A$ is reduced as a commutative algebra. I guess I should add that as a hypothesis to discount examples such as these.
Feb 6, 2017 at 20:15 history answered Ben Webster CC BY-SA 3.0