A structure theorem for Leibniz homology

作者：Lodder Jerry M^*

来源：Journal of Algebra, 2012, 355(1): 93-110.

DOI：10.1016/j.jalgebra.2012.01.010

• Leibniz homology
• Extensions of Lie algebras
• Invariant theory

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 sl(n)(R), so(n)(R), and sp(n)(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 structure theorem identifies all of these in terms of g-invariants.

• 出版日期2012-4-1