Theorems · Theorem · nonassociative algebras

LieAlgebra.IsKilling.killingCompl_top_eq_bot

∀ {R : Type u_1} {L : Type u_3} {inst : CommRing R} {inst_1 : LieRing L} {inst_2 : LieAlgebra R L}
  [self : LieAlgebra.IsKilling R L], LieIdeal.killingCompl R L ⊤ = ⊥

We say a Lie algebra is Killing if its Killing form is non-singular.

Defined in

Mathlib.Algebra.Lie.Killing

Cited by

2 results in Mathlib

Foundations

Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LieAlgebra.IsKilling