Theorems · Theorem · nonassociative algebras

LieSubalgebra.normalizer_eq_self_iff

∀ {R : Type u_1} {L : Type u_2} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
  (H : LieSubalgebra R L), H.normalizer = H ↔ LieModule.maxTrivSubmodule R (↥H) (L ⧸ H.toLieSubmodule) = ⊥

Defined in

Mathlib.Algebra.Lie.Normalizer

Cited by

1 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebra