Abstract
Using the finite dimensional example of PSU(1, 1), the universal covering of PSU(1, 1), as a guide, we revisit the orbit method as it applies to D̂, the universal central extension of D = Diff+ (S1). We clarify some aspects of the classification of coadjoint orbits, determine boundedness properties of the natural height function on these orbits, and calculate orbital integrals.
Original language | English (US) |
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Pages (from-to) | 623-653 |
Number of pages | 31 |
Journal | Journal of Geometry and Physics |
Volume | 44 |
Issue number | 4 |
DOIs | |
State | Published - Jan 2003 |
Keywords
- Orbit methods
- Virasoro extension of Diff (S)
ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Geometry and Topology