BC_n-symmetric abelian functions
组合数学
2007-05-23 v2 量子代数
摘要
We construct a family of BC_n-symmetric biorthogonal abelian functions generalizing Koornwinder's orthogonal polynomials, and prove a number of their properties, most notably analogues of Macdonald's conjectures. The construction is based on a direct construction for a special case generalizing Okounkov's interpolation polynomials. We show that these interpolation functions satisfy a collection of generalized hypergeometric identities, including new multivariate elliptic analogues of Jackson's summation and Bailey's transformation.
引用
@article{arxiv.math/0402113,
title = {BC_n-symmetric abelian functions},
author = {Eric M. Rains},
journal= {arXiv preprint arXiv:math/0402113},
year = {2007}
}
备注
59 pages, LaTeX (with AMS macros). v2: Minor revisions per referee comments