Timeline for algebraic groups and their Lie algebras
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Mar 3, 2013 at 17:51 | vote | accept | Andriy Regeta | ||
| Mar 3, 2013 at 17:51 | |||||
| Dec 1, 2012 at 4:34 | comment | added | user27056 | @Jim Humphreys: Thanks for the kind words. The argument I give also works without change if ${\rm{GL}}(V)$ is replaced with any linear algebraic $k$-group. I'm not sure how the argument in D-G may differ from this, as I have always avoided looking at anything in D-G whenever possible. | |
| Nov 30, 2012 at 23:52 | comment | added | Jim Humphreys | @xbnv: This is readable, whereas some people will prefer to consult the much more formal proof in French style given in Prop. 2.9 of the section in Demazure-Gabriel's book I mentioned. Probably their graph argument goes back to Chevalley's book, which I haven't yet checked. Aside from style, it's worth pointing out that the D-G argument applies to all homomorphisms between algebraic groups and not just representations. | |
| Nov 30, 2012 at 16:02 | history | edited | user27056 | CC BY-SA 3.0 |
added 290 characters in body
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| Nov 30, 2012 at 15:45 | history | answered | user27056 | CC BY-SA 3.0 |