Finite dimensionality of homologies of the Lie algebra of Hamiltonian vector fields on the plane

DOI10.1007/BF01077296zbMath0599.17008WikidataQ115394335 ScholiaQ115394335MaRDI QIDQ1080509

Dmitry Fuchs

Publication date: 1985

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

zbMATH Keywords

Lie algebraHamiltonian vector fieldshomologies

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Cohomology of Lie (super)algebras (17B56)

Related Items (3)

Infinite-dimensional algebras and a trigonometric basis for the classical Lie algebras ⋮ The structure of the \(W_ \infty\) algebra ⋮ Cohomology of restricted Lie algebras of Hamiltonian vector fields: computer analysis

Cites Work

• Cohomology of Hamiltonian and related formal vector field Lie algebras
• Cohomology of Lie algebras of formal vector fields on the line
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