Solvable Lie Algebras of Vector Fields and a Lie's Conjecture
Copyright policy )Solvable Lie Algebras of Vector Fields and a Lie's Conjecture
We present a local and constructive differential geometric description of finite-dimensional solvable and transitive Lie algebras of vector fields. We show that it implies a Lie's conjecture for such Lie algebras. Also infinite-dimensional analytical solvable and transitive Lie algebras of vector fields whose derivative ideal is nilpotent can be adapted to this scheme.
- Polish Academy of Sciences Poland
- Institute of Mathematics Poland
- Polish Academy of Learning Poland
- University of Warsaw Poland
- University of Warsaw Library Poland
Solvable, nilpotent (super)algebras, Mathematics - Differential Geometry, (primary) 17B30 17B66 (secondary) 57R25 57S20, Lie algebras of vector fields and related (super) algebras, Lie conjecture, FOS: Physical sciences, Mathematical Physics (math-ph), Group Theory (math.GR), vector field, homogeneous structure, Vector fields, frame fields in differential topology, Differential Geometry (math.DG), solvable Lie algebra, FOS: Mathematics, dilation, Noncompact Lie groups of transformations, Mathematics - Group Theory, Mathematical Physics, nilpotent Lie algebra
Solvable, nilpotent (super)algebras, Mathematics - Differential Geometry, (primary) 17B30 17B66 (secondary) 57R25 57S20, Lie algebras of vector fields and related (super) algebras, Lie conjecture, FOS: Physical sciences, Mathematical Physics (math-ph), Group Theory (math.GR), vector field, homogeneous structure, Vector fields, frame fields in differential topology, Differential Geometry (math.DG), solvable Lie algebra, FOS: Mathematics, dilation, Noncompact Lie groups of transformations, Mathematics - Group Theory, Mathematical Physics, nilpotent Lie algebra
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