Theorems · Definition · nonassociative algebras

LieHom.ker

{R : Type u} →
  {L : Type v} →
    {L' : Type w₂} →
      [inst : CommRing R] →
        [inst_1 : LieRing L] →
          [inst_2 : LieRing L'] → [inst_3 : LieAlgebra R L'] → [inst_4 : LieAlgebra R L] → (L →ₗ⁅R⁆ L') → LieIdeal R L

The kernel of a morphism of Lie algebras, as an ideal in the domain.

Defined in

Mathlib.Algebra.Lie.Ideal

Cited by

37 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieRingLieAlgebraLieAlgebra