Degenerations of generalized Krichever–Novikov algebras on tori

DOI10.1063/1.530008zbMath0806.17024arXivhep-th/9207104OpenAlexW1984437882MaRDI QIDQ3141377

Martin Schlichenmaier

Publication date: 30 January 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9207104

zbMATH Keywords

elliptic curvesRiemann spherecomplex torialgebraic geometric degenerationLie algebras of meromorphic vector fieldsmoduli space of marked Riemann surfacessingular Riemann surfaces

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (12)

FORMAL AND ANALYTIC RIGIDITY OF THE WITH ALGEBRA ⋮ Krichever–Novikov Type Algebras. A General Review and the Genus Zero Case ⋮ Extensions of superalgebras of Krichever-Novikov type ⋮ Lie superalgebras of Krichever-Novikov type and their central extensions ⋮ N-point Virasoro algebras are multipoint Krichever–Novikov-type algebras ⋮ Global geometric deformations of the Virasoro algebra, current and affine algebras by Krichever-Novikov type algebras ⋮ String branchings on complex tori and algebraic representations of generalized Krichever-Novikov algebras ⋮ Global geometric deformations of current algebras as Krichever-Novikov type algebras ⋮ Krichever-Novikov algebras, their representations and applications in geometry and mathematical physics ⋮ GLOBAL DEFORMATIONS OF THE WITT ALGEBRA OF KRICHEVER–NOVIKOV TYPE ⋮ An Elementary Proof of the Formal Rigidity of the Witt and Virasoro Algebra ⋮ From the Virasoro Algebra to Krichever–Novikov Type Algebras and Beyond

Cites Work

• Krichever-Novikov algebras for more than two points
• Elliptic affine Lie algebras
• Krichever-Novikov algebras for more than two points: explicit generators
• Central extensions and semi-infinite wedge representations of Krichever- Novikov algebras for more than two points
• String branchings on complex tori and algebraic representations of generalized Krichever-Novikov algebras
• Highest weight modules over certain quasigraded Lie algebras on elliptic curves
• Krichever-Novikov-like bases on punctured Riemann surfaces
• Bases on multipunctured Riemann surfaces and interacting strings amplitudes
• On a Lie algebra of vector fields on a complex torus
• Krichever–Novikov algebras on Riemann surfaces of genus zero and one with N punctures

This page was built for publication: Degenerations of generalized Krichever–Novikov algebras on tori