On Formal Degrees of Unipotent Representations
| Authors | |
|---|---|
| Publication date | 11-2022 |
| Journal | Journal of the Institute of Mathematics of Jussieu |
| Volume | Issue number | 21 | 6 |
| Pages (from-to) | 1947-1999 |
| Organisations |
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| Abstract |
Let G be a reductive p-adic group which splits over an unramified extension of the ground field. Hiraga, Ichino and Ikeda [24] conjectured that the formal degree of a square-integrable G-representation π can be expressed in terms of the adjoint γ-factor of the enhanced L-parameter of π. A similar conjecture was posed for the Plancherel densities of tempered irreducible G-representations. We prove these conjectures for unipotent G-representations. We also derive explicit formulas for the involved adjoint γ-factors. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1017/S1474748021000062 |
| Other links | https://www.scopus.com/pages/publications/85103057831 |
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