Timeline for Module categories over $\mathrm{Rep}(G)$
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
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| May 6 at 17:11 | history | edited | YCor | CC BY-SA 4.0 |
formatting
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| Sep 13, 2021 at 18:31 | history | wiki removed | Stefan Kohl♦ | ||
| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Jan 5, 2010 at 19:36 | comment | added | Sebastian Burciu | @t3suji: Here is what I had in mind before. Take the orbit $\mathcal{O}$ and induce it up to $G$. All the irreducible constituents that are obtained in this way generate a module category over $Rep(G/N)$. This is also indecomposable. | |
| Jan 5, 2010 at 18:18 | vote | accept | Sebastian Burciu | ||
| Jan 5, 2010 at 18:15 | answer | added | Victor Ostrik | timeline score: 10 | |
| Jan 5, 2010 at 17:37 | history | edited | Sebastian Burciu | CC BY-SA 2.5 |
reformulated the second part; it was an incorrect statement,sorry!
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| Jan 5, 2010 at 17:30 | comment | added | Sebastian Burciu | @ t3suji : Yes, it's something wrong. I will rewrite the second part, shortly. One can also take $N=Z(G)$ to get a contradiction. | |
| Jan 5, 2010 at 17:19 | comment | added | t3suji | @Sebastian Burciu: Are they? Take $G=H$ and $\mathcal O$ to be the orbit of the one-point orbit of the trivial representation of $G$, for instance. Aren't you saying that the tensor product of the trivial representation and any representation is trivial? | |
| Jan 5, 2010 at 17:17 | comment | added | Sebastian Burciu | @ Leonid: It gives a classification of all modules categories over $Rep(G)$. Maybe I should have said this in the post. | |
| Jan 5, 2010 at 17:13 | comment | added | Sebastian Burciu | One rstricts a rep. of $G$ to $H$ and then it tensors over $H$ with some rep. from $\mathcal{O}$. The irreducible constituents of the tensor product are in the same orbit, $\mathcal{O}$. | |
| Jan 5, 2010 at 17:09 | comment | added | t3suji | I'd think tensor product is by pulling back a representation from $G$ to $\tilde H$ and then tensoring over $\tilde H$. How is $\mathcal M$ a module category? | |
| Jan 5, 2010 at 16:56 | history | edited | Mariano Suárez-Álvarez | CC BY-SA 2.5 |
Escape an asterisk
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| Jan 5, 2010 at 16:56 | history | edited | Sebastian Burciu | CC BY-SA 2.5 |
added 23 characters in body
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| Jan 5, 2010 at 16:50 | history | asked | Sebastian Burciu | CC BY-SA 2.5 |