Unitary Representations and Coadjoint Orbits for a Group of Germs of Real Analytic Diffeomorphisms | Zendy

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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.

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