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

Evgeny Feigin; Ievgen Makedonskyi

doi:10.1016/j.jcta.2015.04.003

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

Evgeny Feigin^*
, Ievgen Makedonskyi

^*Corresponding author for this work

Higher School of Economics
RAS - P.N. Lebedev Physics Institute
Kyiv National Taras Shevchenko University

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

The Cherednik-Orr conjecture expresses the t→∞ 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.

Original language	English
Pages (from-to)	60-84
Number of pages	25
Journal	Journal of Combinatorial Theory. Series A
Volume	135
DOIs	https://doi.org/10.1016/j.jcta.2015.04.003
State	Published - 1 Oct 2015
Externally published	Yes

Funding

Funders	Funder number
Health and Safety Executive	15-01-0024
Dynasty Foundation
National Research University Higher School of Economics
Government Council on Grants, Russian Federation

Keywords

Demazure modules
Macdonald polynomials
PBW filtration

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10.1016/j.jcta.2015.04.003

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title = "Nonsymmetric Macdonald polynomials and PBW filtration: Towards the proof of the Cherednik-Orr conjecture",

abstract = "The Cherednik-Orr conjecture expresses the t→∞ 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.",

keywords = "Demazure modules, Macdonald polynomials, PBW filtration",

author = "Evgeny Feigin and Ievgen Makedonskyi",

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year = "2015",

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T1 - Nonsymmetric Macdonald polynomials and PBW filtration

T2 - Towards the proof of the Cherednik-Orr conjecture

AU - Feigin, Evgeny

AU - Makedonskyi, Ievgen

PY - 2015/10/1

Y1 - 2015/10/1

N2 - The Cherednik-Orr conjecture expresses the t→∞ 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.

AB - The Cherednik-Orr conjecture expresses the t→∞ 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.

KW - Demazure modules

KW - Macdonald polynomials

KW - PBW filtration

UR - https://www.scopus.com/pages/publications/84946160224

U2 - 10.1016/j.jcta.2015.04.003

DO - 10.1016/j.jcta.2015.04.003

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AN - SCOPUS:84946160224

SN - 0097-3165

VL - 135

SP - 60

EP - 84

JO - Journal of Combinatorial Theory. Series A

JF - Journal of Combinatorial Theory. Series A

ER -

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

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