Timeline for A stupid question about Automorphic forms
Current License: CC BY-SA 3.0
4 events
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| May 25, 2011 at 18:57 | comment | added | GH from MO | Yes, but note that the action of the Hecke algebra itself comes from the group action (convolution by measures on the maximal compact and derivations in various directions). As usual in number theory, at archimedean places the definitions are slightly different than at nonarchimedan ones, yet a unified treatment can be achieved at all places which is beneficial and nice. | |
| May 25, 2011 at 17:47 | comment | added | isildur | Thanks, I looked up the Borel-Jacquet reference, they seem to imply that condition (c) above is necessary to ensure that the action of Hecke algebra (and not just the group) on the space of "automorphic forms" is nice ( admissible?) They refer to the work of Harish-Chandra for some general results, but I haven't looked through it. | |
| May 24, 2011 at 23:03 | history | edited | GH from MO | CC BY-SA 3.0 |
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| May 24, 2011 at 22:27 | history | answered | GH from MO | CC BY-SA 3.0 |