Theorems · Definition · nonassociative algebras

LieDerivation.ofGrading

{ι : Type u_1} →
  {R : Type u_3} →
    {L : Type u_4} →
      [inst : DecidableEq ι] →
        [inst_1 : AddCommMonoid ι] →
          [inst_2 : CommRing R] →
            [inst_3 : LieRing L] →
              [inst_4 : LieAlgebra R L] →
                (ℒ : ι → Submodule R L) → [GradedLieAlgebra ℒ] → (ι →+ R) → LieDerivation R L L

The Lie derivation on a graded Lie algebra that scalar-multiplies by an additive function of the degree.

Defined in

Mathlib.Algebra.Lie.Graded

Cited by

1 results in Mathlib

Foundations

Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqAddCommMonoidCommRingLieRingLieAlgebraGradedLieAlgebra