✦ LIBER ✦
Unitary Representations and Coadjoint Orbits for a Group of Germs of Real Analytic Diffeomorphisms
✍ Scribed by Frank Leitenberger
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 753 KB
- Volume
- 169
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
The method of coadjoint orbits is developed for the group of real analytic germs of diffeomorphisms φ with φ(0) = 0 and φ′(0) = 1. The form of all infinite dimensional coadjoint orbits is described. Classes U of unitary representations are constructed. In the case n = 2 these representations are related to coadjoint orbits.