Plancherel measure for GL(n,F) and GL(m,D): explicit formulas and Bernstein decomposition
| dc.creator | Aubert, Anne-Marie | |
| dc.creator | Plymen, Roger | |
| dc.date | 2003-02-14 | |
| dc.date | 2004-10-04 | |
| dc.date.accessioned | 2026-07-07T04:55:18Z | |
| dc.date.available | 2026-07-07T04:55:18Z | |
| dc.description | Let F be a nonarchimedean local field, let D be a division algebra over F, let GL(n) = GL(n,F). Let νdenote Plancherel measure for GL(n). Each component Ωin the Bernstein variety Ω(GL(n)) has several numerical invariants attached to it. We provide explicit formulas for the Bernstein component ν_Ω of Plancherel measure in terms of these invariants. We also prove some new formal degree formulas, a transfer-of-measure formula for GL(n), and a transfer-of-measure formula from GL(n,F) to GL(m,D). | |
| dc.description | 39 pages. We have made some minor changes, and re-written part of the introduction | |
| dc.identifier | https://arxiv.org/abs/math/0302169 | |
| dc.identifier | http://arxiv.org/abs/math/0302169 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66527 | |
| dc.subject | Representation Theory | |
| dc.subject | Operator Algebras | |
| dc.title | Plancherel measure for GL(n,F) and GL(m,D): explicit formulas and Bernstein decomposition | |
| dc.type | text |