(Shifted) Macdonald Polynomials: q-Integral Representation and Combinatorial Formula
q-alg
2016-09-08 v2 量子代数
摘要
We extend some results about shifted Schur functions to the general context of shifted Macdonald polynomials. We obtain two explicit formulas for these polynomials: a -integral representation and a combinatorial formula. Our main tool is a -integral representation for ordinary Macdonald polynomials. We also discuss duality for shifted Macdonald polynomials and Jack degeneration of these polynomials.
引用
@article{arxiv.q-alg/9605013,
title = {(Shifted) Macdonald Polynomials: q-Integral Representation and Combinatorial Formula},
author = {Andrei Okounkov},
journal= {arXiv preprint arXiv:q-alg/9605013},
year = {2016}
}
备注
30 pages, AmS-TeX. Replaced with the journal version. To appear in Comp. Math