The second homology of nilpotent Leibniz algebras

Some properties of the second homology and cover of Leibniz algebras areestablished. By constructing a stem cover, the second Leibniz homology andcover of abelian, Heisenberg Lie algebras and cyclic Leibniz algebras aredescribed. Also, for the dimension of a non-cyclic nilpotent Leibniz algebraL, we obtaindim (HL2(L)) ≥ 2.

Keywords:

Cover , Leibniz algebras , Leibniz homology