Theorems · Theorem · nonassociative algebras

LieDerivation.maxTrivSubmodule_eq_bot_of_center_eq_bot

∀ {R : Type u_1} {L : Type u_2} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L],
  LieAlgebra.center R L = ⊥ → LieModule.maxTrivSubmodule R L (LieDerivation R L L) = ⊥

Defined in

Mathlib.Algebra.Lie.AdjointAction.Derivation

Cited by

0 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebra