Generalized Weyl modules and nonsymmetric $q$-Whittaker functions
Representation Theory
2016-05-06 v1 Combinatorics
Quantum Algebra
Abstract
We introduce generalized global Weyl modules and relate their graded characters to nonsymmetric Macdonald polynomials and nonsymmetric -Whittaker functions. In particular, we show that the series part of the nonsymmetric -Whittaker function is a generating function for the graded characters of generalized global Weyl modules.
Cite
@article{arxiv.1605.01560,
title = {Generalized Weyl modules and nonsymmetric $q$-Whittaker functions},
author = {Evgeny Feigin and Ievgen Makedonskyi and Daniel Orr},
journal= {arXiv preprint arXiv:1605.01560},
year = {2016}
}