Timeline for In the rep theory of Quantum Double, why does the fusion of 2 "pure fluxes" yield a "pure charge"?
Current License: CC BY-SA 4.0
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| Sep 4, 2023 at 20:30 | comment | added | pyroscepter | Thanks for the reference! I have accepted the answer. I will try to fill in the details after looking through the paper. | |
| Sep 4, 2023 at 20:28 | vote | accept | pyroscepter | ||
| Sep 2, 2023 at 9:08 | comment | added | Bugs Bunny | b Second calculation: $\mu_\ast (A)_a = \oplus_{(b,c)\in \mu^{-1} (a)} A_{(b,c)} = \oplus_{bc=a} A_{(b,c)} $. So you get contributions at points $xx=x^{-1}$, $x^{-1}x^{-1}=x$ and $1=xx^{-1}=x^{-1}x$. | |
| Sep 2, 2023 at 9:02 | comment | added | Bugs Bunny | b First calculation. Your bundle $U=V$ has ${\mathbb C}$ at $x$ and $x^{-1}$ and zero elsewhere. Then $(U\boxtimes V)_{(a,b)}=U_a \otimes V_b$ becomes zero outside these 4 points. | |
| Sep 2, 2023 at 8:58 | comment | added | Bugs Bunny | a. You may be better off just reading it in Witheerspoon's paper: core.ac.uk/download/pdf/82567222.pdf | |
| Sep 1, 2023 at 20:48 | comment | added | pyroscepter | Thank you for the answer! Apologies, but I am unfamiliar with the language you are using. I have the following questions: a. How do I think about the reps of D(G) in terms of a G-equivariant vector bundle? b. Could you elaborate on two calculations: why does U \boxtimes V have \mathbb{C} at 4 points, and why is the push forward a summation over the inverse image so it has non-zero fibres at 3 points from 2 orbits? | |
| Aug 31, 2023 at 16:09 | history | answered | Bugs Bunny | CC BY-SA 4.0 |