Branching rules for symmetric Macdonald polynomials and sl_n basic hypergeometric series

Details Branching rules for symmetric Macdonald polynomials and sl_n basic hypergeometric series Branching rules for symmetric Macdonald polynomials and sl_n basic hypergeometric series

2009-03-24

arxiv.org/abs/0903.3996v1

Advances in Applied Mathematics 46 (2011), 424-456

Mathematics

Combinatorics

28 pages

Scientific paper

A one-parameter generalisation R_{\lambda}(X;b) of the symmetric Macdonald polynomials and interpolations Macdonald polynomials is studied from the point of view of branching rules. We establish a Pieri formula, evaluation symmetry, principal specialisation formula and q-difference equation for R_{\lambda}(X;b). We also prove a new multiple q-Gauss summation formula and several further results for sl_n basic hypergeometric series based on R_{\lambda}(X;b).

Affiliated with

Also associated with

No associations

Rating

Branching rules for symmetric Macdonald polynomials and sl_n basic hypergeometric 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 Branching rules for symmetric Macdonald polynomials and sl_n basic hypergeometric series, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Branching rules for symmetric Macdonald polynomials and sl_n basic hypergeometric series will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-347186