Second cohomology of Lie rings and the Schur multiplier

We exhibit an explicit construction for the second cohomology group$H^2(L, A)$ for a Lie ring $L$ and a trivial $L$-module $A$.We show how the elements of $H^2(L, A)$ correspond one-to-one to theequivalence classes of central extensions of $L$ by $A$, where $A$now is considered as an abelian Lie rin...

Full description

Bibliographic Details
Main Authors: Max Horn, Seiran Zandi
Format: Article
Language:English
Published: University of Isfahan 2014-06-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://www.theoryofgroups.ir/?_action=showPDF&article=3589&_ob=cf135f0fb1340cca48124481e4a34726&fileName=full_text.pdf.