Theorems · Definition · nonassociative algebras
LieDerivation.toLinearMapLieHom
(R : Type u_1) →
(L : Type u_2) →
[inst : CommRing R] → [inst_1 : LieRing L] → [inst_2 : LieAlgebra R L] → LieDerivation R L L →ₗ⁅R⁆ L →ₗ[R] LThe Lie algebra morphism from Lie derivations into linear endomorphisms.
- Defined in
- Mathlib.Algebra.Lie.Derivation.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingLieRingLieAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieHomstatement · cited by 382
- LieRing.ofAssociativeRingstatement · cited by 227
- LieDerivationstatement · cited by 95
- LieDerivation.toLinearMapproof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- LieDerivation.toLinearMapLieHom_injectivestatement and proof · cited by 0