A Cohomological Characterization of Leibniz Central Extensions of Lie Algebras

Abstract

Mainly motivated by Pirashvili's spectral sequences on a Leibniz algebra, a cohomological characterization of Leibniz central extensions of Lie algebras is given based on Corollary 3.3 and Theorem 3.5. In particular, as applications, we obtain the cohomological version of Gao's main Theorem in \cite{Gao2} for Kac-Moody algebras and answer a question in \cite{LH}.

12 pages. Proc. Amer.Math.Soc. (to appear in a simplified version)

Cited by in corpus (5)

• Structure of the extended Schrodinger-Virasoro Lie algebra
• The derivations, central extensions and automorphism group of the Lie algebra $W$
• Derivations and automorphism groups of the original deformative Schrödinger-Virasoro algebras
• Leibniz Central Extension on the Twisted Schrödinger-Virasoro Algebra
• Non-degenerate Symmetric Invariant Bilinear Forms on the Deformative Schrödinger-Virasoro Algebras