An Elementary Proof of the Formal Rigidity of the Witt and Virasoro Algebra

DOI10.1007/978-3-0348-0645-9_12zbMath1393.17032OpenAlexW140680533MaRDI QIDQ5498853

Martin Schlichenmaier

Publication date: 11 February 2015

Published in: Geometric Methods in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0645-9_12

zbMATH Keywords

conformal field theoryrigidityLie algebra cohomologyWitt algebraVirasoro algebradeformations of algebras

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Lie algebras of vector fields and related (super) algebras (17B66) Cohomology of Lie (super)algebras (17B56)

Related Items

The low-dimensional algebraic cohomology of the Witt and the Virasoro algebra with values in natural modules

Cites Work

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• On the continuous cohomology of the Lie algebra of vector fields
• Construction of miniversal deformations of Lie algebras
• Cohomology of Lie algebras of formal vector fields on the line
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• Global geometric deformations of current algebras as Krichever-Novikov type algebras
• On the deformation of rings and algebras
• Formal rigidity of the Witt and Virasoro algebra
• Degenerations of generalized Krichever–Novikov algebras on tori
• GLOBAL DEFORMATIONS OF THE WITT ALGEBRA OF KRICHEVER–NOVIKOV TYPE
• Cohomology and deformations of algebraic structures