Demazure-Lusztig Operators and Metaplectic Whittaker Functions on Covers of the General Linear Group

There are two different approaches to constructing Whittaker functions of metaplectic groups over non-archimedean local fields. One approach, due to Chinta and Offen for the general linear group and to McNamara in general, represents the spherical Whittaker function in terms of a sum over a Weyl gro...