Macdonald difference operators and Harish-Chandra series

Details Macdonald difference operators and Harish-Chandra series Macdonald difference operators and Harish-Chandra series

2007-01-08

arxiv.org/abs/math/0701218v2

Proc. Lond. Math. Soc. (3) 97, no. 1 (2008), 60-96

Mathematics

Quantum Algebra

38 pages. Small typos corrected

Scientific paper

We analyze the centralizer of the Macdonald difference operator in an appropriate algebra of Weyl group invariant difference operators. We show that it coincides with Cherednik's commuting algebra of difference operators via an analog of the Harish-Chandra isomorphism. Analogs of Harish-Chandra series are defined and realized as solutions to the system of basic hypergeometric difference equations associated to the centralizer algebra. These Harish-Chandra series are then related to both Macdonald polynomials and Chalykh's Baker-Akhiezer functions.

Affiliated with

Also associated with

No associations

Rating

Macdonald difference operators and Harish-Chandra series 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 Macdonald difference operators and Harish-Chandra series, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Macdonald difference operators and Harish-Chandra series will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-722987