Timeline for Intuition behind the definition of quantum groups
Current License: CC BY-SA 3.0
15 events
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Jul 8, 2023 at 20:02 | comment | added | Tom Copeland | For question 1), perhaps the book Quantum Groups: A Path to Current Algebra by Ross Street is a good intro starting with the basics of the math. I'd also like to understand fully the content of the 2023 papers "The reasonable effectiveness of mathematical deformation theory in physics" and '"The important thing is not to stop questioning', including the symmetries on which is based the Standard Model" by Sternheimer (arxiv.org/search/…). | |
Oct 28, 2015 at 14:59 | answer | added | Sean Clark | timeline score: 7 | |
Oct 28, 2015 at 1:52 | review | Suggested edits | |||
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Oct 28, 2015 at 1:38 | answer | added | Joel Kamnitzer | timeline score: 14 | |
May 6, 2015 at 18:34 | vote | accept | asv | ||
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May 6, 2015 at 16:15 | answer | added | Greg Kuperberg | timeline score: 60 | |
Apr 29, 2015 at 7:40 | comment | added | Arnold Neumaier | I answered this at physicsoverflow.org/30569 | |
Apr 28, 2015 at 4:08 | answer | added | Theo Johnson-Freyd | timeline score: 37 | |
Apr 28, 2015 at 3:10 | comment | added | Theo Johnson-Freyd | @BenWieland The KZ equations give a new "tensor structure" in the sense that they give the same monoidal functor, but a new braiding AND a new associator. It's really the associator that makes the new tensor structure new in a meaningful way. For example, it changes which are the "associative $G$-algebras". | |
Apr 28, 2015 at 0:54 | comment | added | Ben Wieland | A quantum group is a new tensor product on the category of representations. I think that something along the lines of the KZ equations give a coordinate-free construction. At first glance, they just give the braiding, but that's a good start. | |
Apr 27, 2015 at 16:21 | history | edited | asv | CC BY-SA 3.0 |
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Apr 27, 2015 at 15:24 | comment | added | user40276 | See for instance the book "A Guide to Quantum Groups" by Chari and Pressley. This is related to deformation quantization that "gives" the sheaf a structure of Poisson-Lie group. | |
Apr 27, 2015 at 15:10 | history | edited | asv | CC BY-SA 3.0 |
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Apr 27, 2015 at 14:33 | history | edited | asv | CC BY-SA 3.0 |
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Apr 27, 2015 at 14:24 | history | asked | asv | CC BY-SA 3.0 |