Patnaik, M. M. and Puskás, A. (2019) Metaplectic covers of Kac–Moody groups and Whittaker functions. Duke Mathematical Journal, 168(4), (doi: 10.1215/00127094-2018-0049)
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Abstract
Starting from some linear algebraic data (a Weyl group invariant bilinear form) and some arithmetic data (a bilinear Steinberg symbol), we construct a central extension of a Kac–Moody group generalizing the work of Matsumoto. Specializing our construction over non-Archimedean local fields, for each positive integer n we obtain the notion of n -fold metaplectic covers of Kac–Moody groups. In this setting, we prove a Casselman–Shalika-type formula for Whittaker functions.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Puskas, Dr Anna |
| Authors: | Patnaik, M. M., and Puskás, A. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Duke Mathematical Journal |
| Publisher: | Duke University Press |
| ISSN: | 0012-7094 |
| ISSN (Online): | 1547-7398 |
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