Theorems · Definition · nonassociative algebras

LieModule.ker

(R : Type u) →
  (L : Type v) →
    (M : Type w) →
      [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] → [LieModule R L M] → LieIdeal R L

The kernel of the action of a Lie algebra L on a Lie module M as a Lie ideal in L.

Defined in

Mathlib.Algebra.Lie.Abelian

Cited by

8 results in Mathlib

Foundations

Depth 48 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModule