Timeline for Computing the Grothendieck-Springer resolution for $G = SL_2$

12 events

when toggle format	what		by	license	comment
Oct 25, 2020 at 19:12	comment	added	Filip		Yes, I was wondering whether one knows exactly "which" extension is it. Interestingly, it is not written in the usual literature.
Oct 25, 2020 at 6:53	comment	added	math no more		Depends on what you mean by known. There's no Birkhoff factorization, so getting a decomposition like this is probably not feasible. On the other hand, it's some extension of the cotangent bundle by a trivial bundle, corresponding to a map of vector spaces $\mathfrak{h} \rightarrow H^1(\Omega^1_{G/B})^G$, and I think one should be able to say what the map is. I don't know a reference and haven't fully worked out the details, but I think it should be an isomorphism.
Oct 23, 2020 at 0:55	comment	added	Filip		Is this bundle known for arbitrary $\mathfrak{sl}_n$?
Feb 24, 2015 at 12:02	history	edited	math no more	CC BY-SA 3.0	added 43 characters in body
Feb 24, 2015 at 11:49	history	edited	math no more	CC BY-SA 3.0	cleaned up the proof a lot
Jan 6, 2014 at 7:28	history	edited	math no more	CC BY-SA 3.0	deleted 11 characters in body
Jan 6, 2014 at 7:06	history	edited	math no more	CC BY-SA 3.0	added 1543 characters in body
Nov 17, 2013 at 23:47	history	edited	math no more	CC BY-SA 3.0	added 9 characters in body
S Nov 17, 2013 at 23:36	review	Late answers
Nov 17, 2013 at 23:40
S Nov 17, 2013 at 23:36	review	First posts
Nov 17, 2013 at 23:37
Nov 17, 2013 at 23:25	history	edited	math no more	CC BY-SA 3.0	added 22 characters in body
Nov 17, 2013 at 23:20	history	answered	math no more	CC BY-SA 3.0