OAI/GroupTheory/PolycyclicRecognition/Analysis/LinearSupportSymmetries.lean
3 declarations, 0 contain sorry, 0 declared as axioms
Algebraic support symmetries
The finite symmetry conclusion does not require a preselected norm or topology on the finite-dimensional height quotient.
- theorem
OAI.PolycyclicRecognition.finite_linear_support_isometriesline 20Source documentation
The support norm supplies the topology used to prove finiteness. The result concerns the original algebraic linear equivalences.
theorem finite_linear_support_isometries (D : SupportDatum W I B) : Set.Finite {A : W ≃ₗ[ℝ] W | ∀ w, D.segmentSupport (A w) = D.segmentSupport w} := by …Mentions: OAI.PolycyclicRecognition.SupportDatum
- def
OAI.PolycyclicRecognition.linearSupportSymmetryGroupline 39Source documentation
The algebraic finite group of possible segment-support symmetries.
def linearSupportSymmetryGroup (D : SupportDatum W I B) : Subgroup (W ≃ₗ[ℝ] W) where …
Mentions: OAI.PolycyclicRecognition.SupportDatum
- instance
OAI.PolycyclicRecognition.(instance at line 48)line 48