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Generalized Weyl modules and nonsymmetric q-Whittaker functions

arxiv.org. math. Cornell University, 2016. No. 1605.01560.
Feigin E., Makedonskyi I., Orr D.
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.