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Unitary Representations and Coadjoint Orbits for a Group of Germs of Real Analytic Diffeomorphisms
Author(s) -
Leitenberger Frank
Publication year - 1994
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19941690114
Subject(s) - unitary state , mathematics , group (periodic table) , pure mathematics , unitary group , algebra over a field , orbit (dynamics) , special unitary group , mathematical physics , physics , quantum mechanics , political science , law , engineering , aerospace engineering
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 dμ (n)of unitary representations are constructed. In the case n = 2 these representations are related to coadjoint orbits.