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Working paper

Nonsymmetric Macdonald polynomials, Demazure modules and PBW filtration

arxiv.org. math. Cornell University, 2014. No. 1407.6316.
Feigin E., Makedonskyi I.
The Cherednik-Orr conjecture expresses the t\to\infty 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.