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Generalized Weyl modules and nonsymmetric $q$-Whittaker functions
Evgeny Feigin, Ievgen Makedonskyi, Daniel Orr · 2016-05-05 · via math.CO updates on arXiv.org

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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