✦ LIBER ✦
Local Differential Geometry on the Tempered Dual of a Semisimple Lie Group
✍ Scribed by A. Guichardet
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 780 KB
- Volume
- 121
- Category
- Article
- ISSN
- 0022-1236
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✦ Synopsis
Delorme proved that the Fell topology on the tempered dual of a real semi simple group (G) is rather simple: roughly speaking, it is identical with the "parameter topology." The aim of this paper is to prove that the "differential geometry" of the tempered dual is very simple, too; by differential geometry, we mean three types of objects: the categories of finite length ( (\mathrm{g}, K) )-modules with tempered subquotients, the Ext ({ }^{n})-groups between such modules, and the deformations of such modules. 1994 Academic Press, Inc.