Theorems · Theorem · nonassociative algebras

LieAlgebra.IsKilling.corootSpace_zero_eq_bot

∀ (K : Type u_2) (L : Type u_3) [inst : LieRing L] [inst_1 : Field K] [inst_2 : LieAlgebra K L]
  [inst_3 : FiniteDimensional K L] (H : LieSubalgebra K L) [inst_4 : H.IsCartanSubalgebra] [LieAlgebra.IsKilling K L],
  LieAlgebra.corootSpace 0 = ⊥

Defined in

Mathlib.Algebra.Lie.Weights.Killing

Cited by

2 results in Mathlib

Foundations

Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LieRingFieldLieAlgebraFiniteDimensionalLieSubalgebra.IsCartanSubalgebraLieAlgebra.IsKilling