Timeline for A ring of invariants in characteristic 2
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
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| Jul 24, 2011 at 23:13 | answer | added | David Wehlau | timeline score: 1 | |
| Oct 6, 2010 at 8:55 | history | edited | Bjørn Kjos-Hanssen |
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| Apr 1, 2010 at 17:36 | answer | added | Victor Miller | timeline score: 0 | |
| Mar 22, 2010 at 4:48 | comment | added | Victor Miller | @Torsten: Thanks! I just starting looking at the Almkvist-Fossum paper, and it looks like it has just what I need. | |
| Mar 21, 2010 at 16:38 | answer | added | Wilberd van der Kallen | timeline score: 1 | |
| Mar 21, 2010 at 10:58 | comment | added | Torsten Ekedahl | A reasonable amount of work seems to have been done (for any indecomposable representation not just a permutation representation). A starting point is (as well as the references to it in SciMath): MR0499459 (81b:14024) Almkvist, Gert; Fossum, Robert Decomposition of exterior and symmetric powers of indecomposable $Z/pZ$-modules in characteristic $p$ and relations to invariants. Séminaire d'Algèbre Paul Dubreil, 30ème année (Paris, 1976--1977), pp. 1--111, Lecture Notes in Math., 641, Springer, Berlin, 1978. | |
| Mar 21, 2010 at 9:45 | answer | added | damiano | timeline score: 2 | |
| Mar 20, 2010 at 17:19 | comment | added | Victor Miller |
What would be really nice if there was a recursive description. If $R_n$ is the ring of invariants (given explicitly with generators and syzygies) for $C_{2^n}$, then looking at $R_n \times R_n$ in $R_{n+1}$ there is an action (involving the cocycle giving the group extension) of $C_{2^{n+1}}$, which could be used to "clean up" the invariants.
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| Mar 20, 2010 at 16:58 | history | asked | Victor Miller | CC BY-SA 2.5 |