Quantum Affine Algebras at Roots of Unity

Details Quantum Affine Algebras at Roots of Unity Quantum Affine Algebras at Roots of Unity

1996-09-27

arxiv.org/abs/q-alg/9609031v2

Mathematics

Quantum Algebra

54 pages, Amstex. The paper has been substantially revised, reorganized and the results are now proved for arbitrary untwisted

Scientific paper

We study the restricted form of the qaunatized enveloping algebra of an untwisted affine Lie algebra and prove a triangular decomposition for it. In proving the decomposition we prove several new identities in the quantized algebra, one of these show a connection between the quantized algebra and Young diagrams. These identities are all invisible in the non-quantum case of the problem which was considered by Garland in 1978. We then study the finite-dimensional irreducible representations and prove a factorization theorem for such representations.

Affiliated with

Also associated with

No associations

Rating

Quantum Affine Algebras at Roots of Unity 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 Quantum Affine Algebras at Roots of Unity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Affine Algebras at Roots of Unity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-272615