OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanPolarTiledChains.lean
2 declarations, 0 contain sorry, 0 declared as axioms
The three actual chains for the polar flow partition
- def
OAI.PolycyclicRecognition.normalizedPolarTemplatesline 12Source documentation
Normalized templates ordered as source, reverse anchor, within-tile.
def normalizedPolarTemplates {W : Type*} [NormedAddCommGroup W] [NormedSpace ℝ W] (K : ProperCone ℝ (StrongDual ℝ W)) (ε : ℝ) (j : Fin 3) : Set W := … - theorem
OAI.PolycyclicRecognition.CartanWordModel.exists_polar_tiled_probe_chainsline 44Source documentation
The same maximal polar ideal basis from the flow tiling supplies all three actual measurable chain families. Their common ambient basis and amplitude envelope are constructed from the largest polar radius.
theorem exists_polar_tiled_probe_chains (hExp : IsGroupExponential Exp) (realize : ExponentialLinearRealizationInput (EG := EG) (G := G)) …Mentions: OAI.PolycyclicRecognition.ExponentialLinearRealizationInput