✦ LIBER ✦

The orbit method and the Virasoro extension of Diff+(S1): I. Orbital integrals

✍ Scribed by Jialing Dai; Doug Pickrell

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 266 KB
Volume: 44
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(02)00117-1

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✦ Synopsis

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 D, the universal central extension of D = Diff + (S 1 ). 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.

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