OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanSupportSwitch.lean
1 declarations, 0 contain sorry, 0 declared as axioms
One switch constant for the actual Cartan alphabet
The finite family of nonzero root generators admits one logarithmic switch bound. At a supporting position, the large generator amplitude cancels the scalar part of the adjoint action exactly.
- theorem
OAI.PolycyclicRecognition.CartanWordModel.exists_uniform_support_switch_boundline 30Source documentation
Uniformly short supporting switches for every letter in the constructed Cartan word model, including its generalized-root nilpotent corrections.
theorem exists_uniform_support_switch_bound (Exp : GroupLieAlgebra (𝓘(ℝ, EG)) G → G) (hExp : IsGroupExponential Exp) (realize : ExponentialLinearRealizationInput (EG := EG) (G := G)) …Mentions: OAI.PolycyclicRecognition.ExponentialLinearRealizationInput