Theorems · Theorem · nonassociative algebras

LieDerivation.IsKilling.rangeAdOrthogonal_carrier

∀ (R : Type u_1) (L : Type u_2) [inst : Field R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L],
  ↑(LieDerivation.IsKilling.rangeAdOrthogonal R L) =
    {y | ∀ (a : L), ((killingForm R (LieDerivation R L L)) ((LieDerivation.ad R L) a)) y = 0}

Defined in

Mathlib.Algebra.Lie.Derivation.Killing

Cited by

0 results in Mathlib

Foundations

Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldLieRingLieAlgebra