MODULES FOR A SHEAF OF LIE ALGEBRAS ON LOOP MANIFOLDS

DOI10.1142/S0129167X12500796zbMath1295.17023arXiv1109.2172MaRDI QIDQ2909476

Yuly Billig

Publication date: 30 August 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.2172

zbMATH Keywords

vector fieldchiral de Rham complexderivationvertex algebraloop manifoldsheaf of Lie algebras

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69)

Cites Work

• Lowest-energy representations of non-centrally extended diffeomorphism algebras
• Vertex representations for \(n\)-toroidal Lie algebras and a generalization of the Virasoro algebra
• Chiral de Rham complex
• Irreducible representations for toroidal Lie algebras
• Local systems of vertex operators, vertex superalgebras and modules

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