Simple modules for universal enveloping algebras and Weyl algebras

Asked Oct 31 '20 at 17:10

Active Oct 31 '20 at 17:15

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Let $A$ be the universal enveloping algebra of a fintie dimensional Lie algebra (simple if needed) or the Weyl algebra.

Question: Are there recent survey articles about the (possibly infinite dimensional) simple modules of those algebras?

For what Lie algebras is a complete list of all simple modules known?

edited Oct 31 '20 at 17:15

asked Oct 31 '20 at 17:10

Mare

I believe this is essentially a duplicate of https://mathoverflow.net/q/18559/41291; on the other hand, it was ten years ago, so... – მამუკა ჯიბლაძე Oct 31 '20 at 22:38

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