Timeline for Have the Quantum Group Theorists taught the Group Theorists Anything?
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
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| Apr 15, 2019 at 8:06 | comment | added | JP McCarthy | @LSpice I appreciate your comment but perhaps it is better to have too much and have my question understood right away, than to have too little and have to have clarifications and potential misinterpretations. | |
| Apr 14, 2019 at 0:38 | history | edited | Konstantinos Kanakoglou |
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| Apr 13, 2019 at 13:11 | review | Suggested edits | |||
| Apr 13, 2019 at 13:30 | |||||
| Apr 13, 2019 at 6:20 | history | edited | JP McCarthy | CC BY-SA 4.0 |
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| Apr 13, 2019 at 2:10 | answer | added | Konstantinos Kanakoglou | timeline score: 5 | |
| Apr 12, 2019 at 19:27 | comment | added | Geoff Robinson | @LSpice : There is some discussion of this in arxiv.org/abs/math/0308281 , for example. | |
| Apr 12, 2019 at 19:11 | comment | added | Francois Ziegler | Canonical bases? (e.g. Chari-Pressley 1994, Chap. 14.) | |
| Apr 12, 2019 at 18:49 | comment | added | Sam Hopkins | There is e.g. the famous example of Lusztig's conjecture about representations of quantum groups at root of unity and representation of Lie algebras in positive characteristic (see the lots of discussion at mathoverflow.net/questions/138310/…). But I think one problem with the question as phrased is that Lie theorists might not consider themselves group theorists anyways. | |
| Apr 12, 2019 at 18:43 | history | edited | JP McCarthy | CC BY-SA 4.0 |
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| Apr 12, 2019 at 18:36 | comment | added | LSpice | @GeoffRobinson, do you happen to have any specific references? That sounds interesting. | |
| Apr 12, 2019 at 18:28 | comment | added | Geoff Robinson | In representation theory, there are examples where specilializing the parameter $q$ to a suitable root of unity turns difficult characterisiic $p$ problems into characteristic zero problems. | |
| Apr 12, 2019 at 18:13 | comment | added | LSpice | It seems to me that the many, many paragraphs of motivation add only empty generalisations, not examples; I think just the paragraph on Peter–Weyl and the question itself would make a good post. | |
| Apr 12, 2019 at 18:09 | history | asked | JP McCarthy | CC BY-SA 4.0 |