Timeline for What is the longest word in type $C_2$ Weyl group written in terms of a matrix?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 11, 2018 at 13:45 | vote | accept | Jianrong Li | ||
| Jul 11, 2018 at 13:48 | |||||
| Jul 11, 2018 at 11:44 | answer | added | Vít Tuček | timeline score: 2 | |
| Jul 11, 2018 at 11:38 | answer | added | Jianrong Li | timeline score: 0 | |
| Jul 7, 2018 at 20:22 | comment | added | Ben Webster♦ | It's scalar multiplication by $-1$. | |
| Jul 7, 2018 at 19:48 | comment | added | LSpice | Do you mean "what is the matrix, in terms of a basis of simple roots, of the transformation of the root system induced by …"? In this case, the matrices of simple reflections very nearly come from the Cartan matrix. Although you must usually specify your numbering of simple roots, of course here it doesn't matter. If $\alpha_1$ is the short root and $\alpha_2$ the long, then $s_1 = \begin{pmatrix} -1 & 2 \\ 0 & 1 \end{pmatrix}$ and $s_2 = \begin{pmatrix} 1 & 0 \\ 1 & -1 \end{pmatrix}$. | |
| Jul 7, 2018 at 19:38 | history | edited | Jianrong Li | CC BY-SA 4.0 |
added 10 characters in body
|
| Jul 7, 2018 at 19:25 | history | asked | Jianrong Li | CC BY-SA 4.0 |