mkAlgHom — Mathlib

English

The top Killing complement equals the kernel of the Killing form on L.

Русский

Верхний киллинг-комплемент равен ядру киллинг формы на L.

LaTeX

$$coe_killingCompl_top : killingCompl R L ⊤ = LinearMap.ker (killingForm R L)$$

Lean4

/-- The quotient map from the tensor algebra to the universal enveloping algebra as a morphism of
associative algebras. -/
def mkAlgHom : TensorAlgebra R L →ₐ[R] UniversalEnvelopingAlgebra R L :=
  RingQuot.mkAlgHom R (Rel R L)

Похожие утверждения