On the Virasoro Algebra as Reduced Poisson Submanifold of a Kac-Moody Algebra on the Circle

DOI10.2307/2160765zbMath0823.22018OpenAlexW4251011491MaRDI QIDQ4318309

Gloria Marí Beffa

Publication date: 15 October 1995

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2160765

zbMATH Keywords

semisimple Lie groupsKorteweg-de Vries equationdual of Virasoro algebraKac-Moody algebra on the circletransverse structures on Poisson manifolds

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Partial differential equations (35-XX)

Related Items (2)

On the Poisson geometry of the Adler-Gel'fand-Dikii brackets ⋮ Adler–Kostant–Symes construction, bi-Hamiltonian manifolds, and KdV equations

This page was built for publication: On the Virasoro Algebra as Reduced Poisson Submanifold of a Kac-Moody Algebra on the Circle