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

Jialing Dai, Doug Pickrell

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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 languageEnglish (US)
Pages (from-to)623-653
Number of pages31
JournalJournal of Geometry and Physics
Issue number4
StatePublished - Jan 2003


  • Orbit methods
  • Virasoro extension of Diff (S)

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology


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