Timeline for Combinatorial bases of simple Lie algebras
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 20, 2023 at 6:15 | history | edited | მამუკა ჯიბლაძე | CC BY-SA 4.0 |
added 309 characters in body
|
| Feb 20, 2023 at 6:02 | comment | added | მამუკა ჯიბლაძე | @PeterWu Indeed! In my case, $15=\binom62$ and $20=\binom63$, it was stupid not to notice this! Thus combinatorics in general is simply that of 2- and 3-element subsets of $\{1,...,n\}$. Do you know if there is something similar for other simple algebras? I mean, even if not or you don't know, I still think your comment contains a legitimate answer. Maybe somebody else proposes a more complete answer, but so far this one is the only thing we have, right? | |
| Feb 20, 2023 at 1:49 | comment | added | Peter Wu | For $so(n)$ this can be done. Say $M_{ij}$ is the generator with $1$ at $i,j$, $-1$ at $j,i$ otherwise $0$. Only $[M_{ij},M_{jk}]=M_{ik}$ and otherwise zero. | |
| Feb 20, 2023 at 0:16 | comment | added | LSpice | Do you know if this can be done for $\mathfrak{sl}_3$? | |
| Feb 20, 2023 at 0:07 | history | edited | LSpice | CC BY-SA 4.0 |
Typo
|
| Feb 19, 2023 at 22:15 | history | asked | მამუკა ჯიბლაძე | CC BY-SA 4.0 |