OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanOriginalNeighborFrames.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Concentration from the original neighboring-cell law
- theorem
OAI.PolycyclicRecognition.CartanWordModel.exists_original_neighbor_root_framesline 46Source documentation
The original Haar neighboring law supplies the restricted law used by concentration. The sampled points retain the original center.
theorem exists_original_neighbor_root_frames {K : ℕ → Type*} [∀ n, TopologicalSpace (K n)] [∀ n, CompactSpace (K n)] [∀ n, T2Space (K n)] [∀ n, MeasurableSpace (K n)] [∀ n, BorelSpace (K n)] [∀ n, Nonempty (K n)] [Nonempty (Fin M.letterCount)] [Nonempty (Fin (finrank ℝ (cartanRootIdeal H)))] (hExp : IsGroupExponential Exp) (realize : ExponentialLinearRealizationInput (EG := EG) (G := G)) …Mentions: OAI.PolycyclicRecognition.cartanRootIdeal, OAI.PolycyclicRecognition.ExponentialLinearRealizationInput