Theorems · Theorem · nonassociative algebras

LieAlgebra.Orthogonal.soIndefiniteEquiv_apply

∀ (p : Type u_2) (q : Type u_3) (R : Type u₂) [inst : DecidableEq p] [inst_1 : DecidableEq q] [inst_2 : CommRing R]
  [inst_3 : Fintype p] [inst_4 : Fintype q] {i : R} (hi : i * i = -1) (A : ↥(LieAlgebra.Orthogonal.so' p q R)),
  ↑((LieAlgebra.Orthogonal.soIndefiniteEquiv p q R hi) A) =
    (LieAlgebra.Orthogonal.Pso p q R i)⁻¹ * ↑A * LieAlgebra.Orthogonal.Pso p q R i

Defined in

Mathlib.Algebra.Lie.Classical

Cited by

0 results in Mathlib

Foundations

Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqDecidableEqCommRingFintypeFintype