Timeline for Tensor representations of the quantum algebra $U_q(\mathfrak{sl}(2))$ at the roots of unity
Current License: CC BY-SA 4.0
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| Jun 7, 2021 at 17:41 | comment | added | Noah Snyder | Hopefully someone will come along with a good reference, I'm not sure what's the most accessible one if you focus on $\mathfrak{sl}_2$. But yes, tensor products of tilting modules are tilting, this is the big theorem about them. If you use the alternate description as "sums of summands of tensor powers of the standard" then it's obvious that they're closed under tensor product. | |
| Jun 7, 2021 at 10:41 | comment | added | pomello gaudente | Thank you for your answer! So, if I restrict my attention to these tilting modules, will also their tensor products also behave “nicely”? Do you have any reference to these matter to suggest? | |
| Jun 6, 2021 at 18:16 | history | answered | Noah Snyder | CC BY-SA 4.0 |