Theorems · Inductive type · nonassociative algebras

LieModule.LinearWeights

(R : Type u_2) →
  (L : Type u_3) →
    (M : Type u_4) →
      [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] → [LieRing.IsNilpotent L] → Prop

A typeclass encoding the fact that a given Lie module has linear weights, vanishing on the derived ideal.

Defined in

Mathlib.Algebra.Lie.Weights.Linear

Cited by

19 results in Mathlib

Foundations

Depth 9 from the axioms · uses no axioms

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModuleLieRing.IsNilpotent