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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4829| Title: | Self-Dual Cuspidal Representations |
| Authors: | Adler, Jeffrey D. MISHRA, MANISH Dept. of Mathematics |
| Keywords: | Finite reductive group p-adic group Cuspidal representation Super-cuspidal representation Self-dual TOC-JUN-2020 2020 2020-JUN-WEEK3 |
| Issue Date: | Jun-2020 |
| Publisher: | American Mathematical Society |
| Citation: | Representation Theory, 24, 210-228. |
| Abstract: | Let G be a connected reductive group over a finite field f of order q. When q <= 5, we make further assumptions on G. Then we determine precisely when G(f) admits irreducible, cuspidal representations that are self-dual, of Deligne-Lusztig type, or both. Finally, we outline some consequences for the existence of self-dual supercuspidal representations of reductive p-adic groups. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4829 https://doi.org/10.1090/ert/541 |
| ISSN: | 1088-4165 |
| Appears in Collections: | JOURNAL ARTICLES |
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