On primitive ideals

Details On primitive ideals On primitive ideals

2002-02-10

arxiv.org/abs/math/0202079v3

Mathematics

Representation Theory

26pp., Exposition improved and substantially revised; many details added following comments by Ofer Gabber

Scientific paper

We extend two well-known results on primitive ideals in enveloping algebras of semisimple Lie algebras, the `Irreducibility theorem' and `Duflo theorem', to much wider classes of algebras. Our general version of Irreducibility theorem says that if A is a positively filtered associative algebra such that gr(A) is a commutative Poisson algebra with finitely many symplectic leaves, then the associated variety of any primitive ideal in A is the closure of a single connected symplectic leaf. Our general version of Duflo theorem says that if A is an algebra with a `triangular structure' (see sect. 2), then any primitive ideal in A is the annihilator of a simple highest weight module. Applications to Symplectic reflection algebras and Cherednik algebras are discussed.

Affiliated with

Also associated with

No associations

Rating

On primitive ideals does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On primitive ideals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On primitive ideals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-288571