Invariant differential operators for quantum symmetric spaces, II

Mathematics – Quantum Algebra

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

The two papers in this series analyze quantum invariant differential operators for quantum symmetric spaces in the maximally split case. In this paper, we complete the proof of a quantum version of Harish-Chandra's theorem: There is a Harish-Chandra map which induces an isomorphism between the ring of quantum invariant differential operators and a ring of Laurent polynomial invariants with respect to the dotted action of the restricted Weyl group. We find a particularly nice basis for the quantum invariant differential operators that provides a new interpretation of difference operators associated to Macdonald polynomials. Finally, we set the stage for a general quantum counterpart to noncompact zonal spherical functions.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Invariant differential operators for quantum symmetric spaces, II 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 Invariant differential operators for quantum symmetric spaces, II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Invariant differential operators for quantum symmetric spaces, II will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-376296

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.