Theorems · Definition · nonassociative algebras

LieSubalgebra.normalizer

{R : Type u_1} →
  {L : Type u_2} →
    [inst : CommRing R] → [inst_1 : LieRing L] → [inst_2 : LieAlgebra R L] → LieSubalgebra R L → LieSubalgebra R L

Regarding a Lie subalgebra H ⊆ L as a module over itself, its normalizer is in fact a Lie subalgebra.

Defined in

Mathlib.Algebra.Lie.Normalizer

Cited by

19 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext

Assumes

CommRingLieRingLieAlgebra