Formal degrees of unipotent discrete series representations and the exotic Fourier transform
| Authors |
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| Publication date |
2015
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| Journal |
Proceedings of the London Mathematical Society
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| Volume | Issue number |
110 | 3
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| Pages (from-to) |
615-646
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| Organisations |
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Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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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.
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| Document type |
Article
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| Language |
English
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| Published at |
https://doi.org/10.1112/plms/pdu060
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