A two-dimensional analogue of the Virasoro algebra

DOI10.1016/S0393-0440(00)00015-2zbMath0991.17017arXivmath-ph/0003036OpenAlexW2010631711WikidataQ127863388 ScholiaQ127863388MaRDI QIDQ1589695

Friedrich Wagemann

Publication date: 8 April 2002

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

Full work available at URL: https://arxiv.org/abs/math-ph/0003036

zbMATH Keywords

Riemann surfacesVirasoro algebraGelfand-Fuks cohomologydiagonal cohomologyvector field of holomorphic type

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional Lie (super)algebras (17B65) Cohomology of Lie (super)algebras (17B56)

Cites Work

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• Infinite dimensional Lie algebras. An introduction
• The cohomology of the vector fields on a manifold
• Affine Gelfand-Dickey brackets and holomorphic vector bundles
• Central extensions of current groups in two dimensions
• Central extensions of infinite-dimensional Lie algebras and Lie groups, Virasoro algebra and generalizations
• Four dimensional realization of two dimensional current groups
• Differential graded cohomology and Lie algebras of holomorphic vector fields
• Cohomologies of the Lie algebra of tangential vector fields of a smooth manifold
• Sur la cohomologie de l'algèbre de Lie des champs de vecteurs
• The second homology group of current Lie algebras

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