Theorems · Theorem · nonassociative algebras

LieModule.Weight.genWeightSpace_ne_bot

∀ {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] [inst_6 : LieModule R L M]
  [inst_7 : LieRing.IsNilpotent L] (χ : LieModule.Weight R L M), LieModule.genWeightSpace M ⇑χ ≠ ⊥

Defined in

Mathlib.Algebra.Lie.Weights.Basic

Cited by

12 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModuleLieRing.IsNilpotent