Timeline for Examples of representations of quantum groups
Current License: CC BY-SA 3.0
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Feb 3, 2018 at 16:36 | answer | added | Réamonn Ó Buachalla | timeline score: 2 | |
S Jan 6, 2018 at 22:04 | history | suggested | Konstantinos Kanakoglou |
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Jan 6, 2018 at 21:58 | comment | added | Jim Humphreys | In the case of a quantum group arising from the rank 1 simple Lie algebra, a classic paper by Reshetikhin and Turaev may already be familiar to you: mathscinet.ams.org/mathscinet-getitem?mr=1091619 | |
Jan 6, 2018 at 20:10 | review | Suggested edits | |||
S Jan 6, 2018 at 22:04 | |||||
Jan 6, 2018 at 19:03 | answer | added | Konstantinos Kanakoglou | timeline score: 7 | |
Oct 6, 2017 at 11:25 | comment | added | Jim Humphreys | Probably you'd get more insight from Chapters 2 and 5 of Jantzen's 1996 AMS text Lectures on Quantum Groups, even though the notation gets heavy as in Lusztig's book. Jantzen does attempt to provide more of a textbook approach, though it isn't easy in this subject. | |
Oct 6, 2017 at 10:15 | history | edited | Alon Amit | CC BY-SA 3.0 |
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Oct 6, 2017 at 10:09 | history | edited | asv | CC BY-SA 3.0 |
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Oct 6, 2017 at 7:12 | comment | added | asv | @JimHumphreys: Lusztig's book looks to me quite technical. If one could show a specific place with relevant examples, that would be helpful. | |
Oct 6, 2017 at 0:34 | comment | added | Jim Humphreys | Have you looked into the papers (and possibly the book) by Lusztig? Keep in mind that there are two very different possibilities: 1) the parameter often called $q$ or $v$ may be an arbitrary complex number not a root of unity (or even an indeterminate), or 2) it may be a root of unity. The latter case is least well understood, and often resembles the theory in prime characteristic. The former case is closer to classical representation theory. Anyway, Lusztig (and Andersen et al.) do give some examples. Jantzen's AMS book is very useful. | |
Oct 5, 2017 at 17:54 | history | asked | asv | CC BY-SA 3.0 |