Timeline for Position of complete flags
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Jun 3, 2014 at 11:46 | comment | added | mathcounterexamples.net | Hi Ben, yes I mean the one marked $(\ast)$. Take a space with dimension $n=3$ and $(e_1,e_2,e_3)$ a basis. $F_1=\mbox{span}\{e_1\}$, $F_2=\mbox{span}\{e_1,e_2\}$, $F^\prime_2=\mbox{span}\{e_1,e_3\}$, $F_3=\mbox{span}\{e_1,e_2,e_3\}$ and finally $G_j=\mbox{span}\{e_1,e_2+e_3\}$ with $k=2$. In fact, based on the aother elements of your elements of your proof, I can finalize without using (*). Enjoy your stay in France! | |
| Jun 3, 2014 at 9:05 | history | edited | Ben Webster♦ | CC BY-SA 3.0 |
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| Jun 3, 2014 at 8:53 | comment | added | Ben Webster♦ | @Jean-PierreMerx You mean the one now marked $(*)$? I'd like to see your counterexample. Of course, it's only true if $F_k \neq F_k'$. That's an important and necessary hypothesis. | |
| Jun 3, 2014 at 8:51 | history | edited | Ben Webster♦ | CC BY-SA 3.0 |
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| Jun 1, 2014 at 9:35 | comment | added | mathcounterexamples.net | Ben, in fact there is a step in your proof with which I'm having difficulties. It is with your first equality with dimensions which is not always true. Am I missing something? | |
| Jun 1, 2014 at 9:26 | vote | accept | mathcounterexamples.net | ||
| Jun 1, 2014 at 8:19 | comment | added | Ben Webster♦ | @jpmjpmjpm They play an important role in geometric representation theory. See, for example, Chriss and Ginzburg's book "Representation Theory and Complex Geometry." | |
| May 31, 2014 at 6:12 | vote | accept | mathcounterexamples.net | ||
| Jun 1, 2014 at 9:26 | |||||
| May 31, 2014 at 6:12 | comment | added | mathcounterexamples.net | Thanks Ben. Were you studying flag positions for a special intent? | |
| May 30, 2014 at 22:43 | history | answered | Ben Webster♦ | CC BY-SA 3.0 |