Affine Lie algebras on Riemann surfaces

zbMath0820.17036MaRDI QIDQ1337913

Oleg K. Sheinman

Publication date: 5 December 1994

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

zbMATH Keywords

Weyl groupsRiemann-Hilbert problemcentral extensionscurrent algebramonodromy groupsKrichever-Novikov algebrashigher genus Riemann surfaceshigher genus Kac-Moody algebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items

Krichever–Novikov Type Algebras. A General Review and the Genus Zero Case, Pseudodifferential symbols on Riemann surfaces and Krichever-Novikov algebras, From the Virasoro Algebra to Krichever–Novikov Type Algebras and Beyond

Cites Work

• Unnamed Item
• Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos
• Resonance regions for Mathieu type dynamical systems on a torus
• Bifurcations and stability of families of diffeomorphisms
• Attractors on an N-torus: Quasiperiodicity versus chaos
• Pseudocharacters on the group \(\text{SL}(2,\mathbb{Z})\)
• Scaling of the Arnold tongues
• Resonance Zones in Two-Parameter Families of Circle Homeomorphisms
• Rotation Sets of Toral Flows
• Rotation Sets for Maps of Tori
• Resonance regions for families of torus maps
• Small denominators. I. Mappings of the circumference onto itself