UpperHalfPlane.forall_smul_eq_self_iff_mem_center

∀ {g : GL (Fin 2) ℝ}, (∀ (z : UpperHalfPlane), g • z = z) ↔ g ∈ Subgroup.center (GL (Fin 2) ℝ)

A matrix acts trivially on ℍ iff it belongs to the center of GL(2, ℝ), i.e., it's a diagonal matrix.

Defined in: Mathlib.Analysis.Complex.UpperHalfPlane.FixedPoints
Cited by: 0 results in Mathlib
Foundations: Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound

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