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

Jialing Dai; Doug Pickrell

doi:10.1016/S0393-0440(02)00117-1

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

Jialing Dai, Doug Pickrell

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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)
Pages (from-to)	623-653
Number of pages	31
Journal	Journal of Geometry and Physics
Volume	44
Issue number	4
DOIs	https://doi.org/10.1016/S0393-0440(02)00117-1
State	Published - Jan 2003

Keywords

Orbit methods
Virasoro extension of Diff (S)

ASJC Scopus subject areas

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

Access to Document

10.1016/S0393-0440(02)00117-1

Cite this

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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 {\^D}, 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.",

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