Structure of the Lie algebra of polynomial vector fields on the Riemann sphere with three punctures

DOI10.1063/1.529499zbMath0748.17019OpenAlexW2016657849WikidataQ115331393 ScholiaQ115331393MaRDI QIDQ3980887

Murray R. Bremner

Publication date: 26 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529499

zbMATH Keywords

modular formsWitt algebrabasisLie algebra of polynomial vector fieldscenterless Virasoro algebra

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Lie algebras of vector fields and related (super) algebras (17B66) Relationship to Lie algebras and finite simple groups (11F22) Holomorphic modular forms of integral weight (11F11)

Related Items (5)

Krichever–Novikov Type Algebras. A General Review and the Genus Zero Case ⋮ N-point Virasoro algebras are multipoint Krichever–Novikov-type algebras ⋮ The 3-point Virasoro algebra and its action on a Fock space ⋮ Krichever–Novikov algebras on Riemann surfaces of genus zero and one with N punctures ⋮ From the Virasoro Algebra to Krichever–Novikov Type Algebras and Beyond

Cites Work

• Krichever-Novikov algebras for more than two points
• Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons
• Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants
• Coset construction for extended Virasoro algebras
• On a Lie algebra of vector fields on a complex torus

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