Decomposability of Subalgebras of Vector Fields

DOI10.1112/JLMS/S2-25.2.235zbMath0482.58005OpenAlexW2031958898MaRDI QIDQ3940513

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Publication date: 1982

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-25.2.235

zbMATH Keywords

decomposability of Lie algebrasinfinite transitive primitive Lie algebrasintertwinning operators of the adjoint representationLie subalgebras of the Lie algebra of vector fields on a manifold

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Pseudogroups, differentiable groupoids and general structures on manifolds (58H99) Global differential geometry (53C99) General theory of differentiable manifolds (58A99)

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Cascade decomposition of nonlinear systems, foliations and ideals of transitive Lie algebras

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