Timeline for Action of Coxeter element on mod $2$ root lattice is semisimple
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Oct 22, 2021 at 16:19 | comment | added | David E Speyer | The previous comment works for $n \equiv 3 \bmod 4$; I don't see a comparable issue when $n \equiv 1 \bmod 4. | |
| Oct 22, 2021 at 15:57 | vote | accept | Jef | ||
| Oct 22, 2021 at 15:56 | comment | added | David E Speyer | To be concrete, in the type $A$ example, $\Lambda/2\Lambda$ is $\{(x_1, x_2, \dots, x_{n+1}) \in \mathbb{F}_2^{n+1} : \sum x_i=0 \}$. For $n$ odd, the fixed $F$ space of $w$ is spanned by $(1,1,\ldots,1)$. But $(1,0,1,0,\ldots)$ is fixed in $\Lambda/(2 \Lambda+F)$. | |
| Oct 22, 2021 at 11:39 | history | edited | Andrei Smolensky | CC BY-SA 4.0 |
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| Oct 22, 2021 at 11:28 | history | edited | Andrei Smolensky | CC BY-SA 4.0 |
added 32 characters in body
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| Oct 22, 2021 at 11:27 | history | undeleted | Andrei Smolensky | ||
| Oct 22, 2021 at 11:26 | history | deleted | Andrei Smolensky | via Vote | |
| Oct 22, 2021 at 11:20 | history | answered | Andrei Smolensky | CC BY-SA 4.0 |