OAI/GroupTheory/PolycyclicRecognition/Geometry/CocycleContractingFlow.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

Sublinear cocycles on contracting root flows

An almost coboundary is sublinear on each one-parameter subgroup. Conjugating a root vector into a fixed compact ball then gives a bound with arbitrarily small coefficient of the logarithm of its norm.

  1. theorem OAI.PolycyclicRecognition.IsUnitaryCocycle.norm_inv line 23
  2. theorem OAI.PolycyclicRecognition.IsUnitaryCocycle.norm_conjugate_le line 32
  3. theorem OAI.PolycyclicRecognition.IsUnitaryCocycle.sublinear_flow_of_approximation line 39
  4. theorem OAI.PolycyclicRecognition.IsUnitaryCocycle.sublinear_log_of_contracting_flow line 73