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Generalized Weyl modules and nonsymmetric $q$-Whittaker functions
Published 5 May 2016 in math.RT, math.CO, and math.QA | (1605.01560v1)
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.
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