A cohomological characterization of leibniz central extensions of lie algebras

  • Naihong Hu*
  • , Yufeng Pei
  • , Dong Liu
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

Mainly motivated by Pirashvili's spectral sequences on a Leibniz algebra, a cohomological characterization of Leibniz central extensions of Lie algebras is given. In particular, as applications, we obtain the cohomological version of Gao's main theorem for Kac-Moody algebras and answer a question in an earlier paper by Liu and Hu (2004).

Original languageEnglish
Pages (from-to)437-447
Number of pages11
JournalProceedings of the American Mathematical Society
Volume136
Issue number2
DOIs
StatePublished - Feb 2008

Fingerprint

Dive into the research topics of 'A cohomological characterization of leibniz central extensions of lie algebras'. Together they form a unique fingerprint.

Cite this