OAI/GroupTheory/PolycyclicRecognition/Geometry/RepresentedExponentialDifferential.lean

GitHub source file

2 declarations, 0 contain sorry, 0 declared as axioms

The exponential differential in a faithful Lie representation

Left translation identifies this differential with the average of the negative adjoint flow. A real triangular adjoint basis makes that average invertible, independently of a global exponential chart.

  1. theorem OAI.PolycyclicRecognition.represented_exponential_differential line 30
  2. theorem OAI.PolycyclicRecognition.represented_exponential_differential_injective line 69