Timeline for How to describe the compact real forms of the exceptional Lie groups as matrix groups?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 22, 2020 at 9:52 | comment | added | Vít Tuček | No worries. This site is more about math than about egos. ;) | |
| Jun 22, 2020 at 9:49 | comment | added | Malkoun | I apologize for changing the accepted answer. I really thank you for the reference, which seems to take on an octonionic approach. For my purposes though, it is Cartan's work which is closer to what I am currently interested in. I apologize again. | |
| Jun 21, 2020 at 22:38 | vote | accept | Malkoun | ||
| Jun 22, 2020 at 9:43 | |||||
| Jun 21, 2020 at 21:59 | comment | added | Malkoun | Ideally, I would like to see the descriptions made by Cartan of the $5$ exceptional Lie groups but in a more modern way. I thank you for the octonionic description of $F_4$ and for the reference. I will check it out. | |
| Jun 21, 2020 at 21:56 | comment | added | Malkoun | However, as Weyl wrote in his "Classical Groups" book, though I cannot remember his exact words, even if one knows the general theory, that does not mean one should not work out the examples (he was talking about invariant theory, and Hilbert's theorems). | |
| Jun 21, 2020 at 21:54 | comment | added | Malkoun | Thank you. Well, I don't really know if it is lacking in the literature, since I don't know the literature very well, to be honest. Most of the books I have focus on Lie algebras rather than Lie groups, and when they do talk about Lie groups, they usually do something general, rather than something specific. These are great books though. | |
| Jun 21, 2020 at 21:12 | history | answered | Vít Tuček | CC BY-SA 4.0 |