Timeline for History and motivation for Tannaka, Krein, Grothendieck, Deligne et al. works on Tannaka-Krein theory?
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Jun 15, 2022 at 5:52 | history | edited | Pedro Lauridsen Ribeiro | CC BY-SA 4.0 |
Incorrect statement on lack of local compactness of the dual group of a locally compact Hausdorff Abelian topological group removed, commenter acknowledged, added reference details
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| Jun 15, 2022 at 5:46 | history | edited | Pedro Lauridsen Ribeiro | CC BY-SA 4.0 |
Incorrect statement on lack of local compactness of the dual group of a locally compact Hausdorff Abelian topological group removed, commenter acknowledged
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| Jun 15, 2022 at 5:33 | comment | added | Pedro Lauridsen Ribeiro | Honestly, I don't remember why I wrote that, sorry - it could be that I mistook the space of continuous real-valued functions on $G$ (which is indeed not locally compact w.r.t. the compact-open topology unless $G$ is finite) for the dual group $\widehat{G}$ of $G$ without thinking it through. In any case, you're right, according also to e.g. Theorem 23.15, pp. 361-362 of E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, Volume I (2nd. edition, Springer-Verlag, 1979). I'll correct my answer above. Thanks for pointing it out! | |
| Jun 14, 2022 at 0:48 | comment | added | KConrad | Sorry for posting a comment on this 8 years later, but you say about a locally compact abelian group $G$ that its group of characters $\widehat{G}$ is an abelian topological group (using the compact-open topology) that is "not necessarily locally compact". What did you have in mind? The dual group is locally compact. See, for instance, kconrad.math.uconn.edu/blurbs/gradnumthy/loccptascoli.pdf. | |
| Jan 18, 2014 at 17:38 | history | edited | Pedro Lauridsen Ribeiro | CC BY-SA 3.0 |
small clarification
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| Jan 18, 2014 at 17:31 | history | edited | Pedro Lauridsen Ribeiro | CC BY-SA 3.0 |
small clarifications
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| Jan 18, 2014 at 17:18 | history | edited | Pedro Lauridsen Ribeiro | CC BY-SA 3.0 |
small corrections and clarifications
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| Jan 18, 2014 at 16:46 | history | edited | Pedro Lauridsen Ribeiro | CC BY-SA 3.0 |
small correction
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| Jan 18, 2014 at 16:37 | history | edited | Pedro Lauridsen Ribeiro | CC BY-SA 3.0 |
short clarifications at some points
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| Jan 18, 2014 at 16:27 | history | edited | Pedro Lauridsen Ribeiro | CC BY-SA 3.0 |
small cleanups
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| Jan 18, 2014 at 15:35 | history | edited | Pedro Lauridsen Ribeiro | CC BY-SA 3.0 |
Added couple of remarks
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| Jan 18, 2014 at 15:23 | history | answered | Pedro Lauridsen Ribeiro | CC BY-SA 3.0 |