Timeline for Richardson Classes and the Bala Carter Theorem
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
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| Dec 7, 2010 at 8:07 | vote | accept | Jay Taylor | ||
| Dec 6, 2010 at 17:52 | answer | added | Jim Humphreys | timeline score: 1 | |
| Dec 6, 2010 at 17:00 | comment | added | Jay Taylor | Yes, you're right. I have made it a bit clearer now for $D_4$, especially as this is the running example in my post. Yeah, I always get a bit haphazard with this. I get so used to writing "connected reductive" or "connected semisimple" that I forget when referring to a connected simple algebraic group that this is redundant. Thanks for the suggestion. In fact, no. I'm actually interested in these classes in the half spin group $HSpin_{2n}(\mathbb{K})$. | |
| Dec 6, 2010 at 16:57 | history | edited | Jay Taylor | CC BY-SA 2.5 |
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| Dec 6, 2010 at 16:17 | history | edited | Jim Humphreys | CC BY-SA 2.5 |
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| Dec 6, 2010 at 16:13 | comment | added | Jim Humphreys |
A couple of very minor edits. Before attempting to answer this, let me point out that language like "right extremal nodes" of the Dynkin diagram is a little fuzzy for type $D_4$ (but probably without affecting your question). And the initial description "simple connected semisimple" sounds awkward; but I guess you are mainly concerned just with $SO_{2n}$ throughout.
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| Dec 6, 2010 at 16:06 | history | edited | Jim Humphreys | CC BY-SA 2.5 |
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| Dec 6, 2010 at 15:23 | history | edited | Jay Taylor | CC BY-SA 2.5 |
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| Dec 6, 2010 at 14:46 | history | edited | Jay Taylor | CC BY-SA 2.5 |
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| Dec 6, 2010 at 14:41 | history | asked | Jay Taylor | CC BY-SA 2.5 |