On changing highest weight theories for finite W-algebras

Details On changing highest weight theories for finite W-algebras On changing highest weight theories for finite W-algebras

2011-05-17

arxiv.org/abs/1105.3308v1

Mathematics

Representation Theory

25 pages

Scientific paper

A highest weight theory for a finite W-algebra U(g,e) was developed in [BGK]. This leads to a strategy for classifying the irreducible finite dimensional U(g,e)-modules. The highest weight theory depends on the choice of a parabolic subalgebra of g leading to different parameterizations of the finite dimensional irreducible U(g,e)-modules. We explain how to construct an isomorphism preserving bijection between the parameterizing sets for different choices of parabolic subalgebra when g is of type A, or when g is of types C or D and e is an even multiplicity nilpotent element

Affiliated with

Also associated with

No associations

Rating

On changing highest weight theories for finite W-algebras 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 changing highest weight theories for finite W-algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On changing highest weight theories for finite W-algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-727708