Timeline for What is the current status of representations of $GL_n(F)$ (and other algebraic groups)?
Current License: CC BY-SA 3.0
13 events
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| Aug 9, 2018 at 12:14 | comment | added | LSpice | It is important to note that, despite your title, you are not asking about representations of algebraic groups (i.e., algebraic representations over the defining field); you are asking about representations of the groups of rational points of algebraic groups (i.e., (presumably) complex representations). | |
| Apr 27, 2014 at 8:28 | vote | accept | Jianrong Li | ||
| Apr 12, 2014 at 15:50 | comment | added | Marc Palm | I also recommend Bushnell-Henniart Local Langlands for GL(2) for the Bushnell-Kutzko theory. It is more digestible for a beginner, I think. | |
| Apr 11, 2014 at 12:57 | comment | added | Jianrong Li | @DavidLoeffler, thank you very much. | |
| Apr 11, 2014 at 12:36 | comment | added | David Loeffler | The Bushnell-Kutzko book is this one: press.princeton.edu/titles/5270.html | |
| Apr 11, 2014 at 8:59 | answer | added | Marc Palm | timeline score: 8 | |
| Apr 11, 2014 at 8:57 | comment | added | Marc Palm | When $F$ is local non-archimedean field,... | |
| Apr 11, 2014 at 8:42 | comment | added | Jianrong Li | @TobiasKildetoft, thank you very much. I have edited the post. | |
| Apr 11, 2014 at 8:41 | history | edited | Jianrong Li | CC BY-SA 3.0 |
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| Apr 11, 2014 at 8:39 | comment | added | Jianrong Li | @DavidLoeffler, thank you very much. What is the name of the book of Bushnell and Kutzko? | |
| Apr 11, 2014 at 8:29 | comment | added | David Loeffler | Even in the Bernstein--Zelevinsky setting their classification isn't the end of the story: one still has to classify the cuspidals (which is much harder), cf. the book of Bushnell and Kutzko. | |
| Apr 11, 2014 at 8:16 | comment | added | Tobias Kildetoft | I think this question is way too broad, and thus does not really allow for any sort of answer. What other fields might you be interested in? And what other algebraic groups? And what sort of problems in their representation theory? | |
| Apr 11, 2014 at 7:48 | history | asked | Jianrong Li | CC BY-SA 3.0 |