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Coadjoint orbits of extensions of \(\text{Diff}^+(S^1)\) by modules of tensor densities.

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Publication:1972277
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DOI10.1016/S0393-0440(99)00037-6zbMath1159.17317WikidataQ127156079 ScholiaQ127156079MaRDI QIDQ1972277

Christophe Kapoudjian

Publication date: 26 April 2000

Published in: Journal of Geometry and Physics (Search for Journal in Brave)


zbMATH Keywords

Virasoro algebraCoadjoint orbitsTensor densities


Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)





Cites Work

  • On the continuous cohomology of the Lie algebra of vector fields
  • Generalizations of Virasoro group and Virasoro algebra through extensions by modules of tensor-densities on \(S^1\)
  • Rotation number, geometrical structures on a circle and Bott-Virasoro group
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