Adjoint and Coadjoint Orbits of the Poincaré Group
✍ Scribed by Richard Cushman; Wilberd van der Kallen
- Publisher
- Springer Netherlands
- Year
- 2006
- Tongue
- English
- Weight
- 609 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0167-8019
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## 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 re
Let M be a closed coadjoint orbit of a real, connected, semi-simple Lie group G, and let F M # C & (g) G be its Fourier transform. In this paper we compute the restriction of F M to the Lie algebra k of a maximal compact subgroup K of G. Using our technique of localization in equivariant cohomology