Functions on this page are joint work with Hamid Mohammadzadeh, and implemented by him. 
LieCoveringHomomorphism(L)
Inputs a finite dimensional Lie algebra L over a field, and returns a surjective Lie homomorphism phi : C→ L where:

LeibnizQuasiCoveringHomomorphism(L)
Inputs a finite dimensional Lie algebra L over a field, and returns a surjective homomorphism phi : C→ L of Leibniz algebras where:

LieEpiCentre(L)
Inputs a finite dimensional Lie algebra L over a field, and returns an ideal Z^∗(L) of the centre of L. The ideal Z^∗(L) is trivial if and only if L is isomorphic to a quotient L=E/Z(E) of some Lie algebra E by the centre of E. 
LieExteriorSquare(L)
Inputs a finite dimensional Lie algebra L over a field. It returns a record E with the following components.

LieTensorSquare(L)
Inputs a finite dimensional Lie algebra L over a field and returns a record T with the following components.

LieTensorCentre(L)
Inputs a finite dimensional Lie algebra L over a field and returns the largest ideal N such that the induced homomorphism of nonabelian tensor squares (L ⊗ L) ⟶ (L/N ⊗ L/N) is an isomorphism. 
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