Theorems · Theorem · nonassociative algebras

LieModule.IsTriangularizable.maxGenEigenspace_eq_top

∀ {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}
  [self : LieModule.IsTriangularizable R L M] (x : L), ⨆ φ, ((LieModule.toEnd R L M) x).maxGenEigenspace φ = ⊤

Defined in

Mathlib.Algebra.Lie.Weights.Basic

Cited by

5 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LieModule.IsTriangularizable