Duality in infinite dimensional Fock representations

Details Duality in infinite dimensional Fock representations Duality in infinite dimensional Fock representations

1997-10-28

arxiv.org/abs/q-alg/9710035v1

Commun. Contemp. Math., Vol. 1 (1999) 155--199

Mathematics

Quantum Algebra

Latex, 46 pages

Scientific paper

We construct and study in detail various dual pairs acting on some Fock representations between a finite dimensional Lie group and a completed infinite rank affine algebra associated to an infinite affine Cartan matrix. We give explicit decompositions of a Fock representation into a direct sum of irreducible isotypic subspaces with respect to the action of a dual pair, present explicit formulas for the common highest weight vectors and calculate the corresponding highest weights. We further outline applications of these dual pairs to the study of tensor products of modules of such an infinite dimensional Lie algebra.

Affiliated with

Also associated with

No associations

Rating

Duality in infinite dimensional Fock representations 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 Duality in infinite dimensional Fock representations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Duality in infinite dimensional Fock representations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-482109