The orbit method and the Virasoro extension of \(\text{diff}^+(S^1)\). I: Orbital integrals
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Publication:1864940
DOI10.1016/S0393-0440(02)00117-1zbMath1028.58011OpenAlexW1619942397MaRDI QIDQ1864940
Publication date: 23 March 2003
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0393-0440(02)00117-1
Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Geometric quantization (53D50) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)
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Cites Work
- Orbital theory for affine Lie algebras
- Diff(S\({}^ 1)\) and the Teichmüller spaces
- Coadjoint orbits of the Virasoro group
- Topological components of spaces of representations
- Unitary representations of some infinite dimensional groups
- Geometric approach to discrete series of unirreps for Vir
- The Plancherel formula for the universal covering group of SL(R, 2)
- The geometry of the KdV equation
- Merits and demerits of the orbit method
- Invariant measures for unitary groups associated to Kac-Moody Lie algebras
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