Generalized Poisson brackets and Lie algebras of type \(H\) in characteristic 0

DOI10.1007/PL00004684zbMath0931.17015MaRDI QIDQ1297931

Kaiming Zhao, J. Marshall Osborn

Publication date: 5 March 2000

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

zbMATH Keywords

isomorphismsderivationssimplicityBlock algebrasLie algebra of Cartan type \(H\)Lie algebras with generalized Poisson brackets

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional Lie (super)algebras (17B65) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Graded Lie (super)algebras (17B70) Poisson algebras (17B63)

Related Items (11)

Non-weight representations of Cartan type H Lie algebras ⋮ Hamiltonian type Lie bialgebras ⋮ THE HAMILTONIAN ALGEBRAS OF CARTAN TYPE IN CHARACTERISTIC 0 ⋮ Twisted Hamiltonian Lie algebras and their multiplicity-free representations ⋮ Simple algebras of Weyl type, II ⋮ Central simple Poisson algebras ⋮ Isomorphism classes and automorphism groups of algebras of Weyl type ⋮ Second cohomology of generalized Cartan type \(H\) Lie algebras in characteristic 0 ⋮ WEYL TYPE ALGEBRAS FROM QUANTUM TORI ⋮ Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series ⋮ Simple algebras of Weyl type

This page was built for publication: Generalized Poisson brackets and Lie algebras of type \(H\) in characteristic 0