Theorems · Definition · nonassociative algebras

LieSubalgebra.incl

{R : Type u} →
  {L : Type v} →
    [inst : CommRing R] → [inst_1 : LieRing L] → [inst_2 : LieAlgebra R L] → (L' : LieSubalgebra R L) → ↥L' →ₗ⁅R⁆ L

The embedding of a Lie subalgebra into the ambient space as a morphism of Lie algebras.

Defined in

Mathlib.Algebra.Lie.Subalgebra

Cited by

7 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebra