Conjugacy classes, characters and coadjoint orbits of Diff⁺S¹

The principal motivation of this dissertation is to understand the unitary irreducible representations and characters of Dif f⁺S¹-the group of all orientation-preserving diffeomorphisms of S¹ by studying conjugacy classes of Dif f⁺S¹ and its coadjoint orbits. For this purpose, we mainly focus on the...

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Bibliographic Details
Main Author: Dai, Jialing
Other Authors: Pickrell, Doug
Language:en_US
Published: The University of Arizona. 2000
Subjects:
Online Access:http://hdl.handle.net/10150/284342