Timeline for Involution of $E_{8}$ lattice
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 18, 2015 at 22:26 | answer | added | André Henriques | timeline score: 0 | |
| Nov 18, 2015 at 20:29 | answer | added | Simon Lentner | timeline score: 1 | |
| Aug 12, 2012 at 2:34 | comment | added | Noam D. Elkies | Not necessarily isomorphic; not even necessarily the same rank, e.g. reflection about a root has $L^+ \cong E_7$ and $L^- \cong A_1$ (and even more trivially central reflection has $L^+ = \lbrace 0 \rbrace$ and $L^- = E_8$). But it is possible for both $L^+$ and $L^-$ to be isomorphic with $D_4$. | |
| Aug 11, 2012 at 22:30 | comment | added | André Henriques | The isometry group of the $E_8$ lattice is the same as the $E_8$ Weyl group (a fact that doesn't always hold for other weight lattices). So you're asking for conjugacy classes of order two elements in the $E_8$ Weyl group. Have you tried looking into the atlas of simple groups? | |
| Aug 11, 2012 at 22:12 | history | asked | M Pandhari | CC BY-SA 3.0 |