Timeline for Invariants of Symmetric group
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Jun 23, 2015 at 18:50 | history | edited | Geoff Robinson | CC BY-SA 3.0 |
minor typos
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| Mar 19, 2012 at 10:20 | comment | added | Geoff Robinson | @mark: Thanks for the accept, but I think Mark Wildon's answer is more complete and definitive. | |
| Mar 19, 2012 at 9:44 | vote | accept | mark | ||
| Mar 19, 2012 at 11:23 | |||||
| Mar 19, 2012 at 8:22 | comment | added | Geoff Robinson | @mark: The ring of nvariants of the non-standard $5$-dimensional reflection representation of $S_6$ is the same as the ring of invariants for the standard one. The matrices whih are acting are the same, it's just that bacuase of teh action of the outer automorphism, in the twisted version they are associated to different group elements. If you like, the outer automorphism of $S_6$ induces an automorphism of the ring of invariants. There may be a question of knowing explicitly what the action of that automorphism is. Other question: try DJ Benson's book. | |
| Mar 18, 2012 at 17:35 | history | edited | Geoff Robinson | CC BY-SA 3.0 |
Corrected one point wth some expansion of text.; edited body
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| Mar 18, 2012 at 16:10 | comment | added | mark | Thanks Robinson and Wildon for the beautiful answers. Now come to the 1st part of the question. Is there any reference for the generators of the ring of invariants of the reflection representation of $S_6$ ? Any references for the generators and relations for other representations of $S_n$ ? | |
| Mar 18, 2012 at 9:04 | vote | accept | mark | ||
| Mar 18, 2012 at 9:05 | |||||
| Mar 18, 2012 at 9:04 | vote | accept | mark | ||
| Mar 18, 2012 at 9:04 | |||||
| Mar 18, 2012 at 1:14 | history | edited | Geoff Robinson | CC BY-SA 3.0 |
Minor typographical corrections
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| Mar 17, 2012 at 19:31 | history | edited | Geoff Robinson | CC BY-SA 3.0 |
Minor textual corrections. Reference to resolution of outstanding case.
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| Mar 17, 2012 at 18:04 | history | answered | Geoff Robinson | CC BY-SA 3.0 |