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SUMMARY:On induced completely prime primitive ideals in enveloping algebra
 s of classical Lie algebras - Simon Goodwin\, University of Birmingham
DTSTART:20250226T163000Z
DTEND:20250226T173000Z
UID:TALK225811@talks.cam.ac.uk
CONTACT:Adam Jones
DESCRIPTION:On induced completely prime primitive ideals in enveloping alg
 ebras of classical Lie algebras\n\nAbstract: The classification of complet
 ely prime primitive ideals in enveloping algebras of simple complex Lie al
 gebras is long-standing classical problem in representation. Although the 
 classification of all primitive ideals as a set was established in the 198
 0s the problem for completely prime primitive ideals has proved much more 
 challenging. In this talk we will cover recent work in which we show that 
 an important class of completely prime primitive ideals\, which we refer t
 o as Losev—Premet ideals\, can be understood through a process of parabo
 lic induction in the case of simple Lie algebras of classical type. We’l
 l explain how this can be reduced to problem about 1-dimensional represent
 ations of finite W-algebra. At the end of the talk\, we’ll explain a mod
 ular analogue of these results about minimal dimensional representations o
 f reduced enveloping algebras.
LOCATION:MR12
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