OAI/GroupTheory/PolycyclicRecognition/Geometry/TriangularOperatorAverage.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Invertibility of an averaged operator with real triangular matrix

This is the linear-algebra part of regularity of real triangular exponential coordinates. It applies to the adjoint operator in its given triangular basis.

  1. def OAI.PolycyclicRecognition.operatorExpAverage line 22
  2. theorem OAI.PolycyclicRecognition.toMatrix_operatorExpAverage line 25
  3. theorem OAI.PolycyclicRecognition.operatorExpAverage_injective line 46