Bispectral quantum Knizhnik-Zamolodchikov equations for arbitrary root systems

Details Bispectral quantum Knizhnik-Zamolodchikov equations for arbitrary root systems Bispectral quantum Knizhnik-Zamolodchikov equations for arbitrary root systems

2009-12-18

arxiv.org/abs/0912.3784v1

Mathematics

Quantum Algebra

31 pages

Scientific paper

The bispectral quantum Knizhnik-Zamolodchikov (BqKZ) equation corresponding to the affine Hecke algebra $H$ of type $A_{N-1}$ is a consistent system of $q$-difference equations which in some sense contains two families of Cherednik's quantum affine Knizhnik-Zamolodchikov equations for meromorphic functions with values in principal series representations of $H$. In this paper we extend this construction of BqKZ to the case where $H$ is the affine Hecke algebra associated to an arbitrary irreducible reduced root system. We construct explicit solutions of BqKZ and describe its correspondence to a bispectral problem involving Macdonald's $q$-difference operators.

Affiliated with

Also associated with

No associations

Rating

Bispectral quantum Knizhnik-Zamolodchikov equations for arbitrary root systems 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 Bispectral quantum Knizhnik-Zamolodchikov equations for arbitrary root systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bispectral quantum Knizhnik-Zamolodchikov equations for arbitrary root systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-381404