Timeline for Quantum double vs Quantum group
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 9, 2021 at 12:36 | comment | added | Calvin McPhail-Snyder | You might be interested in the answers to mathoverflow.net/questions/20683/…: there are more algebraically sophisticated ways of understanding this. | |
| Jun 9, 2021 at 12:34 | comment | added | Calvin McPhail-Snyder | There are more details in Kassel's Quantum Groups, Chapters IX and XVII. I think this might be covered in some other references as well. | |
| Jun 9, 2021 at 12:33 | comment | added | Calvin McPhail-Snyder | I was referring to the fact that if you take the double of the upper Borel $\mathfrak b$ of $\mathfrak{sl}_2$, you actually get a quantum group $\mathcal U_q(\mathfrak{gl}_2)$. To recover $\mathcal U_q(\mathfrak{sl}_2)$ you need to identify two generators, which is directly analogus to requiring trace $0$. | |
| Jun 9, 2021 at 10:14 | comment | added | Vik S. | Do you mind expanding your comment that " The quantum double of $\mathcal U_q(\mathfrak b)$ is essentially $\mathcal U_q(\mathfrak g)$"? Or maybe you have a reference about this. | |
| May 21, 2021 at 0:46 | history | answered | Calvin McPhail-Snyder | CC BY-SA 4.0 |