Elliptic Dunkl operators, root systems, and functional equations

Details Elliptic Dunkl operators, root systems, and functional equations Elliptic Dunkl operators, root systems, and functional equations

1994-03-29

arxiv.org/abs/hep-th/9403178v1

Duke Math.J. 76 (1994) 885-911

Physics

High Energy Physics

High Energy Physics - Theory

30 pages

Scientific paper

We consider generalizations of Dunkl's differential-difference operators associated with groups generated by reflections. The commutativity condition is equivalent to certain functional equations. These equations are solved in many cases. In particular, solutions associated with elliptic curves are constructed. In the $A_{n-1}$ case, we discuss the relation with elliptic Calogero-Moser integrable $n$-body problems, and discuss the quantization ($q$-analogue) of our construction.

Affiliated with

Also associated with

No associations

Rating

Elliptic Dunkl operators, root systems, and functional equations 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 Elliptic Dunkl operators, root systems, and functional equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Elliptic Dunkl operators, root systems, and functional equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-10587