Timeline for Construction of representations of the Mathieu groups?
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 14, 2019 at 14:19 | answer | added | IJL | timeline score: 3 | |
| Sep 7, 2017 at 14:09 | answer | added | Gro-Tsen | timeline score: 5 | |
| Sep 6, 2017 at 20:54 | comment | added | Alexander Chervov | @Gro-Tsen Sorry, I do not quite understand "irreducible factor" - over "C" it should be just subrepresentation. And what means multiplicity one ? Any way - may be you can post your GAP code and some extended comments in an answer ? That would be quite useful (at least for me). | |
| Sep 6, 2017 at 3:51 | comment | added | Francois Ziegler | Another ref: nickerson.org.uk/groups (construction of char 0 representations as permutation modules, used in linked Atlas of Finite Group Representations and GAP). | |
| Sep 6, 2017 at 1:55 | answer | added | Igor Rivin | timeline score: 2 | |
| Sep 5, 2017 at 21:36 | comment | added | Gro-Tsen | In the case of $M_{12}$, I checked using GAP that every irreducible character except the two $16$-dimensional ones and the $54$-dimensional one is an irreducible factor, with multiplicity one, of some irreducible power $\bigwedge^i V$ ($0\leq i\leq 5$) of the standard $11$-dimensional representation $V$ (the nontrivial factor of the natural permutation representation). So, a posteriori, one can say that this provides a construction for all these representations, albeit not a very nice one. | |
| Sep 5, 2017 at 19:54 | history | edited | YCor | CC BY-SA 3.0 |
corrected title and corpse (Mathie -> Mathieu)
|
| Sep 5, 2017 at 19:51 | history | edited | Alexander Chervov | CC BY-SA 3.0 |
added 1 character in body
|
| Sep 5, 2017 at 19:44 | history | edited | Alexander Chervov | CC BY-SA 3.0 |
added 9 characters in body
|
| Sep 5, 2017 at 19:36 | history | asked | Alexander Chervov | CC BY-SA 3.0 |