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Group Actions

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DifferentialGeometry/GroupActions/Action
find the action of a solvable Lie group on a manifold from its infinitesimal generators

DifferentialGeometry/GroupActions/InfinitesimalPseudoGroupNormalizer
find the normalizer of a finite dimensional Lie algebra of vector fields in an (infinite-dimensional) pseudo-Lie algebra of vector fields


DifferentialGeometry/GroupActions/InvariantGeometricObjectFields
find the vector fields, differential forms, tensors or connections which are invariant with respect to a Lie algebra of vector fields

DifferentialGeometry/GroupActions/InvariantVectorsAndForms
calculate a basis of left and right invariant vector fields and differential 1-forms on a Lie group

DifferentialGeometry/GroupActions/IsotropyFiltration
find the infinitesimal isotropy filtration for a Lie algebra of vector fields

DifferentialGeometry/GroupActions/IsotropySubalgebra
find the infinitesimal isotropy subalgebra of a Lie algebra of vector fields and the representation of the isotropy subalgebra on the tangent space

DifferentialGeometry/GroupActions/LieGroup
create a module defining a Lie group

DifferentialGeometry/GroupActions/LiesThirdTheorem
find a Lie algebra of pointwise independent vector fields with prescribed structure equations (solvable algebras only)

DifferentialGeometry/GroupActions/MatrixGroup
find the matrix group defined by a matrix algebra or by a matrix of 1-forms

DifferentialGeometry/GroupActions/MovingFrames
a package for the Fels-Olver method of moving frames

DifferentialGeometry/GroupActions
Overview of the GroupActions package

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