A Structure Theorem for Leibniz Homology
Abstract
Presented is a structure theorem for the Leibniz Homology, HL*, of an Abelian extension of a simple real Lie algebra g. As applications, results are stated for affine extensions of the classical Lie algebras sln(R), son(R), and spn(R). Furthermore, HL*(h) is calculated when h is the Lie algebra of the Poincare group as well as the Lie algebra of the affine Lorentz group. The general theorem identifies all of these in terms of g-invariants.
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