## Abstract The method of coadjoint orbits is developed for the group of real analytic germs of diffeomorphisms Ο with Ο(0) = 0 and Οβ²(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
K-Orbits on Grassmannians and a PRV Conjecture for Real Groups
β Scribed by D. Barbasch; S. Evens
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 888 KB
- Volume
- 167
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Reseirrch problems Problem 142. The symmetric genus of a group G is the minimum genus of a surface on which G acts. Let A, denote the alternating group of degree n, y(G) denote the genus of the group G, and a(G) the symmetric genus of G. Is the following conjecture true? Conjecture: For at leas
It is asserted in Definition 4.2 in [1] that the random operators U(t) defined there are unitary. As was pointed out to the author by Shizan Fang, it is clear that U(t) is an isometry but it is not obvious that U(t) is surjective. The purpose of this note is to fill this gap. 1998 Academic Press 1.