Timeline for Isometry type of alcoves in affine Coxeter complexes
Current License: CC BY-SA 4.0
12 events
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Mar 26, 2020 at 14:52 | vote | accept | user154087 | ||
Mar 26, 2020 at 13:57 | comment | added | Sam Hopkins | Note that even in Type A, you do not get a regular simplex: the simplex has cyclic symmetry (as explained by the comment of Moishe Kohan), but not full symmetry. | |
Mar 26, 2020 at 13:49 | answer | added | Bugs Bunny | timeline score: 4 | |
Mar 26, 2020 at 13:34 | comment | added | Bugs Bunny | I guess this is no longer a comment. So I post it as an answer. | |
Mar 26, 2020 at 11:14 | comment | added | user154087 | @BugsBunny Do you know of any reference where these calculations are made, or can you show on an example (eg $\widetilde{D}_4$) what has to be done? | |
Mar 26, 2020 at 7:20 | review | Close votes | |||
Mar 26, 2020 at 13:50 | |||||
Mar 26, 2020 at 7:10 | comment | added | Bugs Bunny | Did you compute them for $n\leq 4$? This should give you a clear picture what it is. All the necessary equations for the calculation are in Bourbaki, Lie Groups and Lie Algebras, ch 4-6... | |
Mar 25, 2020 at 21:00 | comment | added | Moishe Kohan | Hint: Look at the automorphism group of the extended Dynkin diagram. | |
Mar 25, 2020 at 19:54 | history | edited | user154087 | CC BY-SA 4.0 |
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Mar 25, 2020 at 16:14 | history | edited | YCor |
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Mar 25, 2020 at 16:00 | review | First posts | |||
Mar 25, 2020 at 17:35 | |||||
Mar 25, 2020 at 15:59 | history | asked | user154087 | CC BY-SA 4.0 |