Theorems · Definition · nonassociative algebras

LieModule.toModuleHom

(R : Type u) →
  [inst : CommRing R] →
    (L : Type v) →
      (M : Type w) →
        [inst_1 : LieRing L] →
          [inst_2 : LieAlgebra R L] →
            [inst_3 : AddCommGroup M] →
              [inst_4 : Module R M] →
                [inst_5 : LieRingModule L M] → [inst_6 : LieModule R L M] → TensorProduct R L M →ₗ⁅R,L⁆ M

The action of the Lie algebra on one of its modules, regarded as a morphism of Lie modules.

Defined in

Mathlib.Algebra.Lie.TensorProduct

Cited by

3 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModule