Geometry of the analytic loop group

Details Geometry of the analytic loop group Geometry of the analytic loop group

2008-12-18

arxiv.org/abs/0812.3540v1

Mathematics

Quantum Algebra

30 pages

Scientific paper

We introduce and study a notion of analytic loop group with a Riemann-Hilbert factorization relevant for the representation theory of quantum affine algebras at roots of unity with non trivial central charge. We introduce a Poisson structure and study properties of its Poisson dual group. We prove that the Hopf-Poisson structure is isomorphic to the semi-classical limit of the center of the quantum affine algebra (it is a geometric realization of the center). Then the symplectic leaves, and corresponding equivalence classes of central characters, are parameterized by certain G-bundles on an elliptic curve.

Affiliated with

Also associated with

No associations

Rating

Geometry of the analytic loop group 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 Geometry of the analytic loop group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometry of the analytic loop group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-173405