OAI/GroupTheory/PolycyclicRecognition/Geometry/SmoothVectorActionModel.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

A solvable Lie model for a smooth vector action

The acting vector space may have any finite dimension. The actual smooth action supplies the multiplication and inverse on the product manifold.

  1. def OAI.PolycyclicRecognition.vectorActionSemidirectEquiv line 22
  2. def OAI.PolycyclicRecognition.vectorActionSemidirectGroup line 28
  3. theorem OAI.PolycyclicRecognition.vectorActionSemidirectLieGroup line 34
  4. def OAI.PolycyclicRecognition.smoothVectorActionModel line 59
  5. def OAI.PolycyclicRecognition.smoothVectorActionModelEquiv line 74
  6. theorem OAI.PolycyclicRecognition.smoothVectorActionModelEquiv_continuous line 80
  7. theorem OAI.PolycyclicRecognition.smoothVectorActionModelEquiv_symm_continuous line 85