Theorems · Theorem · nonassociative algebras

LieModule.maxGenEigenSpace_toEnd_eq_top

∀ (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] [inst_6 : LieModule R L M]
  [LieModule.IsNilpotent L M] (x : L), ((LieModule.toEnd R L M) x).maxGenEigenspace 0 = ⊤

Defined in

Mathlib.Algebra.Lie.Nilpotent

Cited by

1 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModuleLieModule.IsNilpotent