Theorems · Definition · nonassociative algebras

LieModule.maxTrivSubmodule

(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] → LieSubmodule R L M

The largest submodule of a Lie module M on which the Lie algebra L acts trivially.

Defined in

Mathlib.Algebra.Lie.Abelian

Cited by

25 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModule