Timeline for Maximal torus of Chevalley group $Sp(4)$
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Dec 5, 2015 at 18:37 | vote | accept | MathStudent | ||
| Dec 5, 2015 at 14:30 | history | edited | Jim Humphreys | CC BY-SA 3.0 |
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| Dec 5, 2015 at 10:35 | comment | added | MathStudent | @humphreys: I added the definition in the question. This is the definition in the steinberg's yale lectures. But i still do not understand why the $h_{\alpha}(t)$ is not diagonal. Thanks again for your help. | |
| Dec 4, 2015 at 22:15 | comment | added | Jim Humphreys | @dulal: The choice of a Chevalley basis doesn't change the fact that $h_\alpha(t)$ is diagonal, but your definition of $x_\alpha(t)$ in the special case isn't correct. How are you defining $x_\alpha(t)$ in general? | |
| Dec 4, 2015 at 17:21 | comment | added | MathStudent | @ humphreys: The chevellay basis I am using is in section 11.2.5 of Cartar's book ' Simple groups of Lie type'. The definition of the root space that I am using is in the yale lectures of steinberg which is in math.ucla.edu/~rst/YaleNotes.pdf | |
| Dec 4, 2015 at 17:19 | history | edited | Jim Humphreys | CC BY-SA 3.0 |
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| Dec 4, 2015 at 17:12 | history | answered | Jim Humphreys | CC BY-SA 3.0 |