Formal degrees of unipotent discrete series representations and the exotic Fourier transform
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| Publication date | 2015 |
| Journal | Proceedings of the London Mathematical Society |
| Volume | Issue number | 110 | 3 |
| Pages (from-to) | 615-646 |
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| Abstract |
We introduce a notion of elliptic fake degrees for unipotent elliptic representations of a semisimple p-adic group. We conjecture, and verify in some cases, that the relation between the formal degrees of unipotent discrete series representations of a semisimple p-adic group and the elliptic fake degrees is given by the exotic Fourier transform matrix introduced by Lusztig in the study of representations of finite groups of Lie type. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1112/plms/pdu060
(Final published version)
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