OAI/GroupTheory/PolycyclicRecognition/Geometry/AnalyticDerivationFlow.lean

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7 declarations, 0 contain sorry, 0 declared as axioms

The analytic exponential of any finite-dimensional real derivation

Intertwining the bracket with the operator commutator proves bracket preservation. The derivation need not be nilpotent.

  1. theorem OAI.PolycyclicRecognition.derivation_bracket_intertwine line 17
  2. theorem OAI.PolycyclicRecognition.analytic_derivation_exp_preserves_lie line 28
  3. def OAI.PolycyclicRecognition.analyticDerivationExp line 44
  4. theorem OAI.PolycyclicRecognition.analyticDerivationExp_apply line 49
  5. def OAI.PolycyclicRecognition.analyticDerivationFlow line 53
  6. theorem OAI.PolycyclicRecognition.analyticDerivationFlow_zero line 56
  7. theorem OAI.PolycyclicRecognition.analyticDerivationFlow_add line 63