Theorems · Definition · linear algebra

LinearMap.IsOrthogonal

{R : Type u_20} →
  {M : Type u_21} →
    [inst : CommRing R] → [inst_1 : AddCommGroup M] → [inst_2 : Module R M] → LinearMap.BilinForm R M → (M → M) → Prop

A linear transformation f is orthogonal with respect to a bilinear form B if B is bi-invariant with respect to f.

Defined in

Mathlib.LinearAlgebra.SesquilinearForm.Basic

Cited by

12 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Quot.sound

Assumes

CommRingAddCommGroupModule