On Level Zero Representations of Quantized Affine Algebras

Details On Level Zero Representations of Quantized Affine Algebras On Level Zero Representations of Quantized Affine Algebras

2000-10-30

arxiv.org/abs/math/0010293v1

Mathematics

Quantum Algebra

54 pages, LateX (amsart)

Scientific paper

We study the properties of level zero modules over quantized affine algebras. The proof of the conjecture on the cyclicity of tensor products by Akasaka and the present author is given. Several properties of modules generated by extremal vectors are proved. The weights of a module generated by an extremal vector are contained in the convex hull of the Weyl group orbit of the extremalweight. The universal extremal weight module with level zero fundamental weight as an extremal weight is irreducible, and isomorphic to the affinization of an irreducible finite-dimensional module.

Affiliated with

Also associated with

No associations

Rating

On Level Zero Representations of Quantized Affine 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 Level Zero Representations of Quantized Affine Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Level Zero Representations of Quantized Affine Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-579316