On Combinatorial Formulas for Macdonald Polynomials

Details On Combinatorial Formulas for Macdonald Polynomials On Combinatorial Formulas for Macdonald Polynomials

2008-04-30

arxiv.org/abs/0804.4716v1

Mathematics

Combinatorics

Scientific paper

A recent breakthrough in the theory of (type A) Macdonald polynomials is due to Haglund, Haiman and Loehr, who exhibited a combinatorial formula for these polynomials in terms of a pair of statistics on fillings of Young diagrams. Ram and Yip gave a formula for the Macdonald polynomials of arbitrary type in terms of so-called alcove walks; these originate in the work of Gaussent-Littelmann and of the author with Postnikov on discrete counterparts to the Littelmann path model. In this paper, we relate the above developments, by explaining how the Ram-Yip formula compresses to a new formula, which is similar to the Haglund-Haiman-Loehr one but contains considerably fewer terms.

Affiliated with

Also associated with

No associations

Rating

On Combinatorial Formulas for Macdonald Polynomials 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 On Combinatorial Formulas for Macdonald Polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Combinatorial Formulas for Macdonald Polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-576496