Timeline for Irreducible unitary representations of semidirect groups of a discrete abelian group by a discrete group
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jul 8, 2015 at 9:24 | vote | accept | Huichi Huang | ||
| Jul 7, 2015 at 3:58 | comment | added | David Hill | @YemonChoi Frobenius reciprocity seems to be okay. The proof I know is fine for the situation. The only issue might be the equality between $\dim H_\Gamma$ and the hom space, but given we have an invariant inner product, that seems fine too. | |
| Jul 7, 2015 at 2:28 | comment | added | Yemon Choi | It might be OK in this setting, I just occasionally get worried about induction versus co-induction. There are definitely problems for locally compact, non-discrete groups though | |
| Jul 7, 2015 at 0:52 | comment | added | David Hill | @YemonChoi I think it's okay. Isn't Fronenius reciprocity really a statement about adjointness of tensor product and hom. The proof I know is for modules over some rings S<R, though I don't recall the exact hypotheses. I will certainly double check. | |
| Jul 7, 2015 at 0:33 | comment | added | Yemon Choi | Since these groups may be infinite, is Frobenius reciprocity still directly applicable? | |
| Jul 7, 2015 at 0:31 | history | edited | David Hill | CC BY-SA 3.0 |
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| Jul 6, 2015 at 23:58 | history | answered | David Hill | CC BY-SA 3.0 |