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

Jialing Dai, Douglas M Pickrell

Research output: Contribution to journalArticle

7 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)623-653
Number of pages31
JournalJournal of Geometry and Physics
Volume44
Issue number4
DOIs
StatePublished - Jan 2003

Fingerprint

Orbit
orbits
orbitals
Coadjoint Orbits
Central Extension
Boundedness
Covering
Calculate
coverings

Keywords

  • Orbit methods
  • Virasoro extension of Diff (S)

ASJC Scopus subject areas

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

Cite this

The orbit method and the Virasoro extension of Diff+ (S1). I. Orbital integrals. / Dai, Jialing; Pickrell, Douglas M.

In: Journal of Geometry and Physics, Vol. 44, No. 4, 01.2003, p. 623-653.

Research output: Contribution to journalArticle

@article{27908720a9f14c07a480bfb034b81d95,
title = "The orbit method and the Virasoro extension of Diff+ (S1). I. Orbital integrals",
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.",
keywords = "Orbit methods, Virasoro extension of Diff (S)",
author = "Jialing Dai and Pickrell, {Douglas M}",
year = "2003",
month = "1",
doi = "10.1016/S0393-0440(02)00117-1",
language = "English (US)",
volume = "44",
pages = "623--653",
journal = "Journal of Geometry and Physics",
issn = "0393-0440",
publisher = "Elsevier",
number = "4",

}

TY - JOUR

T1 - The orbit method and the Virasoro extension of Diff+ (S1). I. Orbital integrals

AU - Dai, Jialing

AU - Pickrell, Douglas M

PY - 2003/1

Y1 - 2003/1

N2 - 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.

AB - 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.

KW - Orbit methods

KW - Virasoro extension of Diff (S)

UR - http://www.scopus.com/inward/record.url?scp=0037210762&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037210762&partnerID=8YFLogxK

U2 - 10.1016/S0393-0440(02)00117-1

DO - 10.1016/S0393-0440(02)00117-1

M3 - Article

AN - SCOPUS:0037210762

VL - 44

SP - 623

EP - 653

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

SN - 0393-0440

IS - 4

ER -