Timeline for A question on complex semisimple Lie groups and $(\mathbb{C}^2, \omega)$
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Jun 20, 2020 at 19:33 | comment | added | Malkoun | I added "Edit 1" to my post. This is really what I would like to achieve. I hope I explained it more or less well this time. Of course, it is related to your answer, but it is also a bit different. Thank you one more time for your answer! | |
| Jun 20, 2020 at 17:27 | comment | added | Malkoun | Four years later, I am going back to this project. Ideally, I would like to have a description for at least one "compact representative" of each of the complex semisimple Lie algebras, using just the standard complex $2$-dimensional representation of $SU(2)$, and natural operations applied to it (such as tensor product, symmetric tensor product etc.). While what you wrote is close to what I want, yet for instance, I do not require the representation of $SU(2)$ to be irreducible. I would like to have a description/definition of a compact representative of each type using just $SU(2)$ data. | |
| Oct 23, 2016 at 11:49 | comment | added | Malkoun | Thank you so much! Particularly for the reference and for the beautiful $E_6$ example! The kind of description you gave for $E_6$ is particularly the type of description that I would like to have, ideally, also for $F_4$, $E_7$ and $E_8$. I am still learning about the exceptional Lie groups by the way. Thank you once more. | |
| Oct 23, 2016 at 11:35 | vote | accept | Malkoun | ||
| Oct 23, 2016 at 11:19 | history | answered | Robert Bryant | CC BY-SA 3.0 |