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arxiv: 1605.01560 · v1 · pith:XUXOJI4Knew · submitted 2016-05-05 · 🧮 math.RT · math.CO· math.QA

Generalized Weyl modules and nonsymmetric q-Whittaker functions

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keywords nonsymmetricgeneralizedmodulesweylwhittakercharactersfunctionfunctions
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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.

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