OAI/GroupTheory/PolycyclicRecognition/Geometry/AlgebraExponential.lean

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7 declarations, 0 contain sorry, 0 declared as axioms

Algebra exponentials as actual group elements

The unit-valued exponential keeps the inverse explicit. This bridges the operator conjugation identity to a faithful group representation.

  1. def OAI.PolycyclicRecognition.algebraExpUnit line 17
  2. theorem OAI.PolycyclicRecognition.coe_algebraExpUnit line 29
  3. theorem OAI.PolycyclicRecognition.algebraExpUnit_neg line 32
  4. theorem OAI.PolycyclicRecognition.algebraExpUnit_zero line 37
  5. theorem OAI.PolycyclicRecognition.algebraExpUnit_add_of_commute line 41
  6. theorem OAI.PolycyclicRecognition.algebraExpUnit_conj line 47
  7. theorem OAI.PolycyclicRecognition.algebraExpUnit_continuous line 53