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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
Oct 28, 2015 at 2:16
Oct 28, 2015 at 1:38 answer added Joel Kamnitzer timeline score: 14
May 6, 2015 at 18:34 vote accept asv
May 6, 2015 at 18:34
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.
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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 14:24 history asked asv CC BY-SA 3.0