Timeline for Whitehead's lemma (Lie algebras) for reductive Lie algebras [closed]
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 21, 2016 at 7:35 | vote | accept | Jianrong Li | ||
| Feb 16, 2016 at 18:00 | comment | added | YCor | You haven't moved the question, you have cross-posted it. | |
| Feb 16, 2016 at 17:58 | history | closed |
Vladimir Dotsenko Stefan Kohl♦ Wolfgang Stefan Waldmann YCor |
Not suitable for this site | |
| Feb 16, 2016 at 13:34 | answer | added | Dietrich Burde | timeline score: 2 | |
| Feb 16, 2016 at 13:20 | comment | added | Jianrong Li | @Vladimir Dotsenko, thank you very much. I moved the question to MSE. | |
| Feb 16, 2016 at 12:34 | review | Close votes | |||
| Feb 16, 2016 at 17:59 | |||||
| Feb 16, 2016 at 12:20 | comment | added | YCor | The conclusion fails in general. Take $\mathfrak{g}$ 1-dimensional abelian, $V$ the 2-dimensional module defined by $x(y,z)=(xz,0)$. Define $f(x)=(0,x)$, so $xf(y)=(xy,0)$ is symmetric in $x,y$ and thus $f([x,y]-xf(y)+yf(x)=0$ for all $x,y$. It does not have the form $f(x)=xv=x(v_1,v_2)=(xv_2,0)$. | |
| Feb 16, 2016 at 12:17 | comment | added | Vladimir Dotsenko | Cohomology of $gl_n$ with coefficients in finite-dimensional modules is well known. You are asking a question about $H^1$. If figuring this out and locating the answer in the literature leads to substantial difficulties, you should be asking it on MSE, not MO. | |
| Feb 16, 2016 at 11:58 | history | asked | Jianrong Li | CC BY-SA 3.0 |