Theorems · Definition · nonassociative algebras

LieRingModule.compLieHom

{R : Type u} →
  {L₁ : Type v} →
    {L₂ : Type w} →
      (M : Type w₁) →
        [inst : CommRing R] →
          [inst_1 : LieRing L₁] →
            [inst_2 : LieAlgebra R L₁] →
              [inst_3 : LieRing L₂] →
                [inst_4 : LieAlgebra R L₂] →
                  [inst_5 : AddCommGroup M] → [LieRingModule L₂ M] → (L₁ →ₗ⁅R⁆ L₂) → LieRingModule L₁ M

A Lie ring module may be pulled back along a morphism of Lie algebras. See note [reducible non-instances].

Defined in

Mathlib.Algebra.Lie.Basic

Cited by

3 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext

Assumes

CommRingLieRingLieAlgebraLieRingLieAlgebraAddCommGroupLieRingModule