Timeline for approximation in Lie algebras
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 29, 2012 at 2:53 | comment | added | prochet | Forget about what I have said. My question is rather. Do we have for appropriate Iwahori $I_{x_{1}}$ $I_{x_{2}}$ $I_{x_{3}}$ a decomposition $\mathfrak{g}(k((t_{3}))=Lie (I_{x_{3}})+\mathfrak{g}(X-x_{3})\cap Lie(I_{x_{1}}\cap Lie(I_{x_{2}})$ Here I chose the local uniformiser $t_{3}$ s.t $\mathfrak{g}(k((t_{3})))\subset\mathfrak{g}(X-x_{3})$ | |
| Nov 29, 2012 at 1:57 | comment | added | Pavel Safronov | It seems you can still take $u = -l$. | |
| Nov 29, 2012 at 1:25 | comment | added | prochet | sorry, there is a problem of quantificators. The exact sentence should be? Is there a choice of a Borel $B_{x_{2}}$ such that for all $l\in\mathfrak{g}(X-x_{3})$ there exists u.... | |
| Nov 29, 2012 at 0:24 | comment | added | Pavel Safronov | I may be missing something, but let $u=0$ and $B_{x_2}$ be a Borel whose Lie algebra contains $l(x_2)$. | |
| Nov 28, 2012 at 16:56 | history | asked | prochet | CC BY-SA 3.0 |