Central extensions, symbols and reciprocity laws on GL(n,ℱ)
[EN] For a discrete valuation field F, using commensurability on valuation rings, we construct arithmetic symbols on the linear group GL(n,F) that generalize classical symbols such as the tame symbol and the Hilbert norm residue symbol on an algebraic curve. We also offer reciprocity laws for these...
| Autor: | |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universidad de Salamanca (USAL) |
| Repositorio: | GREDOS. Repositorio Institucional de la Universidad de Salamanca |
| OAI Identifier: | oai:gredos.usal.es:10366/164067 |
| Acceso en línea: | http://hdl.handle.net/10366/164067 |
| Access Level: | acceso abierto |
| Palabra clave: | Arithmetic symbols Reciprocity laws Discrete valuation field Linear group Algebraic curve 12 Matemáticas |
| Sumario: | [EN] For a discrete valuation field F, using commensurability on valuation rings, we construct arithmetic symbols on the linear group GL(n,F) that generalize classical symbols such as the tame symbol and the Hilbert norm residue symbol on an algebraic curve. We also offer reciprocity laws for these symbols on GL(n,\Sigma_C). |
|---|