Timeline for Deforming the category of representations of the Yangian of a simple Lie algebra?
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| Sep 7, 2015 at 16:03 | comment | added | Theo Johnson-Freyd | That said, I believe there are deep connections between whole of $Y\mathfrak g$-mod and $U_q\hat{\mathfrak g}$-mod, but again the best connections involve exponentiating the spectral parameters on all modules. | |
| Sep 7, 2015 at 16:02 | comment | added | Theo Johnson-Freyd | This question is above my pay grade, so I'll just leave a comment. The parameter $t$ in the Yangian and the parameter $t$ in the quantum affine algebra are not supposed to be the same: rather, they should be related by the exponentiation map $\mathbb A^1 \to \mathbb G_m$ (which, to emphasize, is not an algebraic map). So the connection you're looking for will be best behaved not for the whole Yangian / quantum affine algebra, but just for the Yangian over $\mathbb K[[t]]$ and the quantum affine algebra over $\mathbb K[[t-1]]$. | |
| Sep 7, 2015 at 13:33 | history | asked | BWW | CC BY-SA 3.0 |