Theorems · Definition · nonassociative algebras

LieDerivation.inner

(R : Type u_1) →
  (L : Type u_2) →
    (M : Type u_3) →
      [inst : CommRing R] →
        [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] → M →ₗ[R] LieDerivation R L M

The natural map from a Lie module to the derivations taking values in it.

Defined in

Mathlib.Algebra.Lie.Derivation.Basic

Cited by

1 results in Mathlib

Foundations

Depth 51 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModule