Nonsymmetric Macdonald polynomials and PBW filtration: Towards the proof of the Cherednik-Orr conjecture

摘要

The Cherednik-Orr conjecture expresses the t -> infinity limit of the nonsymmetric Macdonald polynomials in terms of the PBW twisted characters of the affine level one Demazure modules. We prove this conjecture in several special cases. (C) 2015 Elsevier Inc. All rights reserved.