Timeline for Automorphism group of formally real Jordan algebras of hermitian matrices
Current License: CC BY-SA 4.0
17 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S May 16, 2023 at 4:53 | history | bounty ended | Dylan Thurston | ||
| S May 16, 2023 at 4:53 | history | notice removed | Dylan Thurston | ||
| May 9, 2023 at 22:21 | comment | added | Dylan Thurston | Thanks, I will look at that (and the other references you give)! Unfortunately for my application I need the other component for $h_3(\mathbb{C})$ too, which seems to have gone little-noticed in the literature. | |
| May 9, 2023 at 19:53 | comment | added | Inácio | It is worth to remark the following. My original motivation was to show that the Jordan algebra structure completely replaces the vector structure (compact and non-compact case), which allows us to construct the octonionic (projective or hyperbolic) plane. | |
| May 9, 2023 at 19:36 | comment | added | Inácio | Maybe much more elementary than what you are looking for, but I answered this specific question (at least for connected components and including the non-compact case) in my master's thesis: hdl.handle.net/1843/36039 (Theorems A.1 and A.2 in Appendix A). The proof, which is quite simple and has a geometric approach, is an adaptation of F. Harvey's proof for the exceptional case in the book Spinors and Calibrations. My mistake not having included this comment here before. | |
| May 8, 2023 at 17:53 | answer | added | Dylan Thurston | timeline score: 1 | |
| S May 8, 2023 at 17:41 | history | bounty started | Dylan Thurston | ||
| S May 8, 2023 at 17:41 | history | notice added | Dylan Thurston | Authoritative reference needed | |
| May 8, 2023 at 17:40 | comment | added | Dylan Thurston | I also need this result, and have been fairly frustrated looking for references: almost all references talk about the Lie algebra and not the Lie group of symmetries. An answer can be extracted from Michael Orlitzky's example, but it's hard for me to believe that this was not written down before April 2023. | |
| Apr 18, 2023 at 1:51 | answer | added | Michael Orlitzky | timeline score: 3 | |
| Dec 8, 2020 at 13:51 | history | edited | YCor | CC BY-SA 4.0 |
formatting
|
| Dec 8, 2020 at 13:27 | history | edited | YCor | CC BY-SA 4.0 |
edited tags, formatting
|
| Dec 8, 2020 at 13:01 | history | edited | Ben McKay | CC BY-SA 4.0 |
spelling, grammar
|
| Dec 8, 2020 at 12:59 | history | edited | Inácio | CC BY-SA 4.0 |
deleted 242 characters in body
|
| Mar 23, 2020 at 23:16 | history | edited | Inácio | CC BY-SA 4.0 |
added 176 characters in body
|
| Mar 23, 2020 at 23:00 | review | First posts | |||
| Mar 23, 2020 at 23:03 | |||||
| Mar 23, 2020 at 22:59 | history | asked | Inácio | CC BY-SA 4.0 |