Chinta, G., Gunnells, P. E. and Puskas, A. (2017) Metaplectic Demazure operators and Whittaker functions. Indiana University Mathematics Journal, 66(3), pp. 1045-1064.
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Publisher's URL: http://www.jstor.org/stable/26319661
Abstract
In [CG10], the first two named authors defined an action of a Weyl group on rational functions, and used it to construct multiple Dirichlet series. These series are related to Whittaker functions on an n-fold metaplectic cover of a reductive group. In this paper, we define metaplectic analogues of the Demazure and Demazure-Lusztig operators. We show how these operators can be used to recover the formulas from [CG10], and how, together with results of McNamara [McN], they can be used to compute Whittaker functions on metaplectic groups over p-adic fields.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Puskas, Dr Anna |
| Authors: | Chinta, G., Gunnells, P. E., and Puskas, A. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Indiana University Mathematics Journal |
| Publisher: | Indiana University Mathematics Journal |
| ISSN: | 0022-2518 |
| ISSN (Online): | 1943-5258 |
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