Timeline for The ring of SL_2 invariants in sums of conjugation and tautological modules
Current License: CC BY-SA 2.5
5 events
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| Jun 15, 2020 at 7:27 | history | edited | CommunityBot |
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| Jul 24, 2011 at 2:09 | answer | added | David Wehlau | timeline score: 2 | |
| Mar 24, 2011 at 14:37 | comment | added | Greg Muller | Victor, I don't know this polarization trick you mean. The solution for multiple conjugation modules is listed in "Sl_2 representations of Finitely Presented Groups" by Brumfiel and Hilden as The First (and Second) Fundamental Theorem(s) of Invariant Theory, and they cite some older works of Procesi. Is this the direction you mean? | |
| Mar 23, 2011 at 2:12 | comment | added | Victor Protsak | Greg, already the case of simultaneous conjugation of an $m$-tuple of matrices (i.e. $n=0$) isn't particularly easy, albeit classical. The generators can be taken to be traces of the products of length at most 2, but the description of the relations is a bit messy (they follow from the Hamilton-Cayley identity). The classical "symbolic method" tells you how to find generators and relations via polarization. What kind of answer are you hoping for? | |
| Mar 22, 2011 at 23:05 | history | asked | Greg Muller | CC BY-SA 2.5 |