Some lie algebras of vector fields and their derivations Case of partially classical type

DOI10.1017/S0027763000019346zbMath0424.57016OpenAlexW1534342437MaRDI QIDQ3858957

Yukihiro Kanie

Publication date: 1981

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000019346

zbMATH Keywords

contact structuresymplectic structurecohomology of Lie algebrasderivation algebraLie algebra of all leaf-tangent vector fieldscodimension q foliationunimodular structureLie algebra of foliation-preserving vector fields

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Infinite-dimensional Lie (super)algebras (17B65) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Cohomology of Lie (super)algebras (17B56) Foliations in differential topology; geometric theory (57R30)

Related Items (3)

Some Lie algebras of vector fields on foliated manifolds and their derivation algebras ⋮ The first cohomology groups of infinite dimensional Lie algebras ⋮ Derivations of the Lie algebras of differential operators

Cites Work

• Unnamed Item
• Cohomologies of Lie algebras of vector fields with coefficients in adjoint representations case of classical type
• On the intransitive Lie algebras whose transitive parts are infinite and primitive
• Cohomologies of Lie algebras of vector fields with coefficients in adjoint representations. Foliated case
• The infinite groups of Lie and Cartan. I: The transitive groups

This page was built for publication: Some lie algebras of vector fields and their derivations Case of partially classical type