Generalized Weyl modules and nonsymmetric q-Whittaker functions

Evgeny Feigin; Ievgen Makedonskyi; Daniel Orr

doi:https://doi.org/10.1016/j.aim.2018.03.033

Generalized Weyl modules and nonsymmetric q-Whittaker functions

Evgeny Feigin, Ievgen Makedonskyi, Daniel Orr

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

Abstract

We introduce generalized global Weyl modules and relate their graded characters to nonsymmetric Macdonald polynomials and nonsymmetric q-Whittaker functions. In particular, we show that the series part of the nonsymmetric q-Whittaker function is a generating function for the graded characters of generalized global Weyl modules.

Original language	English
Pages (from-to)	997-1033
Number of pages	37
Journal	Advances in Mathematics
Volume	330
DOIs	https://doi.org/10.1016/j.aim.2018.03.033
State	Published - 25 May 2018
Externally published	Yes

Keywords

Nonsymmetric Macdonald polynomials
Weyl modules
q-Whittaker functions

All Science Journal Classification (ASJC) codes

General Mathematics

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https://doi.org/10.1016/j.aim.2018.03.033

Cite this

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title = "Generalized Weyl modules and nonsymmetric q-Whittaker functions",

abstract = "We introduce generalized global Weyl modules and relate their graded characters to nonsymmetric Macdonald polynomials and nonsymmetric q-Whittaker functions. In particular, we show that the series part of the nonsymmetric q-Whittaker function is a generating function for the graded characters of generalized global Weyl modules.",

keywords = "Nonsymmetric Macdonald polynomials, Weyl modules, q-Whittaker functions",

author = "Evgeny Feigin and Ievgen Makedonskyi and Daniel Orr",

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year = "2018",

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doi = "https://doi.org/10.1016/j.aim.2018.03.033",

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T1 - Generalized Weyl modules and nonsymmetric q-Whittaker functions

AU - Feigin, Evgeny

AU - Makedonskyi, Ievgen

AU - Orr, Daniel

PY - 2018/5/25

Y1 - 2018/5/25

N2 - We introduce generalized global Weyl modules and relate their graded characters to nonsymmetric Macdonald polynomials and nonsymmetric q-Whittaker functions. In particular, we show that the series part of the nonsymmetric q-Whittaker function is a generating function for the graded characters of generalized global Weyl modules.

AB - We introduce generalized global Weyl modules and relate their graded characters to nonsymmetric Macdonald polynomials and nonsymmetric q-Whittaker functions. In particular, we show that the series part of the nonsymmetric q-Whittaker function is a generating function for the graded characters of generalized global Weyl modules.

KW - Nonsymmetric Macdonald polynomials

KW - Weyl modules

KW - q-Whittaker functions

UR - http://www.scopus.com/inward/record.url?scp=85045021875&partnerID=8YFLogxK

U2 - https://doi.org/10.1016/j.aim.2018.03.033

DO - https://doi.org/10.1016/j.aim.2018.03.033

M3 - مقالة

SN - 0001-8708

VL - 330

SP - 997

EP - 1033

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Generalized Weyl modules and nonsymmetric q-Whittaker functions

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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