OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanOriginalNeighborFrames.lean

GitHub source file

1 declarations, 0 contain sorry, 0 declared as axioms

Concentration from the original neighboring-cell law

  1. theorem OAI.PolycyclicRecognition.CartanWordModel.exists_original_neighbor_root_frames line 46

    Source 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