Nonsymmetric Macdonald polynomials, Demazure modules and PBW filtration
  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. 
Evgeny Feigin, Ievgen Makedonskyi
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