Timeline for Why are quantum groups so called?
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Jan 7, 2016 at 19:01 | comment | added | AHusain | Sorry. I didn't look at the link to see you were interested in giving it in cluster coordinate presentation. You start off writing down the Poisson brackets for the obvious functions on the group from matrix coefficients, but those aren't quite the best to work with. Think canonical commutation relations vs some other function on phase space. For reference, see "Cluster Algebras and Poisson Geometry" | |
Jan 7, 2016 at 18:18 | comment | added | Edward Hughes | Thanks @AHusain. So I'm right to think that a quantum group should be thought of as a deformation of a type of algebra. Is the procedure unique in general? There seems to be a consensus about the definition of a quantum matrix in my question (1). But I still can't see what motivates the slightly odd form for the relations. Is that obvious from the quantisation somehow? | |
Jan 7, 2016 at 17:42 | history | edited | AHusain | CC BY-SA 3.0 |
added 142 characters in body
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Jan 7, 2016 at 17:16 | history | answered | AHusain | CC BY-SA 3.0 |