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arxiv: 1407.6316 · v1 · pith:3Y7TBDX2new · submitted 2014-07-23 · 🧮 math.RT · math.CO· math.QA

Nonsymmetric Macdonald polynomials, Demazure modules and PBW filtration

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keywords conjecturedemazuremacdonaldmodulesnonsymmetricpolynomialsaffinecases
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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.

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