Patnaik, M. and Puskás, A. (2017) On Iwahori–Whittaker functions for metaplectic groups. Advances in Mathematics, 313, pp. 875-914. (doi: 10.1016/j.aim.2017.04.005)
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Abstract
We relate Iwahori–Whittaker functions on metaplectic covers to certain Demazure–Lusztig operators, the latter of which are built from a Weyl group action previously considered by G. Chinta and P. Gunnells. Using a certain combinatorial identity for the sum of these Demazure–Lusztig operators, we obtain an analogue of the Casselman–Shalika formula for spherical Whittaker functions in this context.
| Item Type: | Articles |
|---|---|
| Additional Information: | M.P. and A.P. were supported from the Subbarao Professorship in Analytic Number Theory, an NSERC discovery grant, and an University of Alberta startup grant. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Puskas, Dr Anna |
| Authors: | Patnaik, M., and Puskás, A. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Advances in Mathematics |
| Publisher: | Elsevier |
| ISSN: | 0001-8708 |
| ISSN (Online): | 1090-2082 |
| Published Online: | 16 May 2017 |
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