On the vanishing of the measurable Schur cohomology groups of Weil groups
| dc.creator | Rajan, C. S. | |
| dc.date | 2002-09-18 | |
| dc.date | 2003-02-22 | |
| dc.date.accessioned | 2026-07-07T04:50:57Z | |
| dc.date.available | 2026-07-07T04:50:57Z | |
| dc.description | We generalize a theorem of Tate and show that the second cohomology of the Weil group of a global or local field with coefficients in $\C^*$ (or more generally, with coefficients in the complex points of a tori over $\C$) vanish, where the cohomology groups are defined using measurable cochains in the sense of Moore. We recover a theorem of Labesse proving that admissible homomorphisms of a Weil group to the Langlands dual of a reductive group can be lifted to an extension of the Langlands dual group by a tori. | |
| dc.description | To appear in Compositio Mathematica. Minor editing, and a conjecture in the earlier version on the vanishing of the higher cohomology groups of Weil groups is false | |
| dc.identifier | https://arxiv.org/abs/math/0209219 | |
| dc.identifier | http://arxiv.org/abs/math/0209219 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64978 | |
| dc.subject | Number Theory | |
| dc.subject | 11R34 (Primary) 22E55 (Secondary) | |
| dc.title | On the vanishing of the measurable Schur cohomology groups of Weil groups | |
| dc.type | text |