Timeline for Volume of a geodesic ball in $\operatorname{SL}(n) / {\operatorname{SO}(n)}$?
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 18, 2022 at 21:31 | comment | added | ccriscitiello | @hthi thanks for the reference, definitely relevant! | |
| Nov 17, 2022 at 20:18 | comment | added | hthi | I know that I am a bit late, but are you aware of theorem A in this paper? link.springer.com/article/10.1007/s000390050025 | |
| Sep 29, 2021 at 8:29 | comment | added | ccriscitiello | @Aurel Thank you! | |
| Sep 28, 2021 at 20:46 | comment | added | Aurel | Yes: take a function $f$ that is $SO(n)$-invariant, and divide by the volume of $SO(n)$! (and check that the Riemannian metric is the same as the one you want, or scale everything accordingly) | |
| Sep 28, 2021 at 9:21 | comment | added | ccriscitiello | @Aurel Thanks for the reference! I think this is very close to but not quite what I'm looking for. This seems to give you the volume of a ball in $SL(n)$ but not $SL(n)/SO(n)$. Perhaps there is an easy way to convert the formula from $SL(n)$ to the one for $SL(n) / SO(n)$? | |
| Sep 28, 2021 at 3:20 | comment | added | LSpice | Name of this paper referenced by @Aurel: Maire and Page - Codes from unit groups of division algebras over number fields. | |
| Sep 27, 2021 at 23:34 | history | edited | LSpice | CC BY-SA 4.0 |
Names of papers; minor TeX to fix spacing
|
| Sep 27, 2021 at 21:15 | comment | added | Aurel | Is Proposition 10 (together with Lemma 9 and Proposition 11) of this paper what you are looking for? | |
| Sep 27, 2021 at 17:22 | history | edited | YCor | CC BY-SA 4.0 |
formatting
|
| Sep 27, 2021 at 15:56 | history | edited | ccriscitiello | CC BY-SA 4.0 |
added 109 characters in body
|
| Sep 27, 2021 at 15:21 | history | asked | ccriscitiello | CC BY-SA 4.0 |