Theorems · Definition · nonassociative algebras

LieModule.lowerCentralSeries

(R : Type u) →
  (L : Type v) →
    (M : Type w) →
      [inst : CommRing R] →
        [inst_1 : LieRing L] →
          [LieAlgebra R L] →
            [inst_3 : AddCommGroup M] → [inst_4 : Module R M] → [inst_5 : LieRingModule L M] → ℕ → LieSubmodule R L M

The lower central series of Lie submodules of a Lie module.

Defined in

Mathlib.Algebra.Lie.Nilpotent

Cited by

60 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModule