Timeline for Which groups can be recovered from their unitary dual?
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
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| Oct 15, 2010 at 18:18 | vote | accept | Mark | ||
| Oct 15, 2010 at 14:40 | answer | added | Andreas Thom | timeline score: 8 | |
| Oct 2, 2010 at 23:25 | comment | added | Mark | Fair enough, though as I said I'm mostly interested in the continuous (Lie) case. | |
| Oct 2, 2010 at 20:44 | comment | added | Kevin Buzzard | If you're only considering the irreducible representations, plus some possible topology on this set, how can you possibly distinguish between the two non-abelian groups of order 8? (which have the same character table). | |
| Oct 2, 2010 at 18:50 | comment | added | Mark | It seems that you are right. I edited the question accordingly. | |
| Oct 2, 2010 at 18:49 | history | edited | Mark | CC BY-SA 2.5 |
fixed an apparent mistake
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| Oct 2, 2010 at 18:45 | comment | added | Pieter Naaijkens | If I'm not mistaken, only the set of equivalence classes of irreducible representations is not enough to recover a compact group G, one needs a symmetric monoidal structure as well. There are non-isomorphic groups that have equivalent (as tensor categories) categories of representations (but not equivalent as <i>symmetric</i> tensor categories). Such groups are called isocategorical. | |
| Oct 2, 2010 at 18:32 | history | asked | Mark | CC BY-SA 2.5 |