Second cohomology of Lie rings and the Schur multiplier
Clicks: 163
ID: 97382
2014
Article Quality & Performance Metrics
Overall Quality
Improving Quality
0.0
/100
Combines engagement data with AI-assessed academic quality
Reader Engagement
Emerging Content
2.4
/100
8 views
8 readers
Trending
AI Quality Assessment
Not analyzed
Abstract
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 ring. For a finite Liering $L$ we also show that $H^2(L, C^*) cong M(L)$, where $M(L)$ denotes theSchur multiplier of $L$. These results match precisely the analoguesituation in group theory.
| Reference Key |
horn2014secondinternational
Use this key to autocite in the manuscript while using
SciMatic Manuscript Manager or Thesis Manager
|
|---|---|
| Authors | Horn, Max;Zandi, Seiran; |
| Journal | international journal of group theory |
| Year | 2014 |
| DOI |
DOI not found
|
| URL | |
| Keywords |
Citations
No citations found. To add a citation, contact the admin at info@scimatic.org
Comments
No comments yet. Be the first to comment on this article.