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