Generalized Weyl modules and nonsymmetric q-Whittaker functions

2016/05/05 by Feigin, Evgeny, Makedonskyi, Ievgen, Orr, Daniel
#Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1605.01560

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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