Levi の定理 #
theorem
LieHom.exists_levi_splitting
(K : Type u_1)
(L : Type u_2)
[Field K]
[CharZero K]
[LieRing L]
[LieAlgebra K L]
[FiniteDimensional K L]
:
∃ (s : L ⧸ LieAlgebra.radical K L →ₗ⁅K⁆ L), Function.LeftInverse LieIdeal.Quotient.mk ⇑s