Extensions of the Virasoro group and the Virasoro algebra by modules of tensor densities on $S^ 1$

DOI10.1007/BF02509628zbMath0886.17020arXivhep-th/9409067OpenAlexW2094363004MaRDI QIDQ1364882

Publication date: 5 November 1997

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9409067

zbMATH Keywords

diffeomorphism Lie algebra cohomology central extensions Virasoro algebra 2-cocycle group extension second cohomology tensor densities differentiable cohomology extended Lie algebras

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Cohomology of Lie (super)algebras (17B56)

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Extensions of the Virasoro group and the Virasoro algebra by modules of tensor densities on \(S^ 1\)