Timeline for Kazhdan Lusztig map and Richardson orbits
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 5, 2017 at 19:32 | comment | added | Jim Humphreys | Concerning your first question, it's natural to start with a closer look at the simple types as well as at special choices of nilpotent orbits. Kazhdan-Lusztig already work out some examples in their paper, e.g., the regular orbit, where you do get a Coxeter class: see their 9.12(a). | |
| Jan 5, 2017 at 19:26 | comment | added | Jim Humphreys | As Aswin points out, the question is not well-formulated. Type $A_\ell$ may be misleading, since all orbits then are Richardson and the KL map is bijective. But there is an inevitable problem when two root lengths occur, since the subregular nilpotent orbit is then the Richardson orbit coming from the minimal parabolics; but their Coxeter elements need not be conjugate in $W$, as seen first in type $B_2 (= C_2)$. (Also, a more standard notation for a parabolic subalgebra is $\mathfrak{p}$ relative to a set $I$ of simple reflections.) | |
| Nov 19, 2016 at 15:06 | answer | added | Aswin | timeline score: 3 | |
| Nov 14, 2016 at 23:09 | history | edited | Dr. Evil | CC BY-SA 3.0 |
deleted 451 characters in body
|
| Nov 14, 2016 at 21:12 | history | edited | Dr. Evil | CC BY-SA 3.0 |
edited body
|
| Nov 14, 2016 at 6:02 | history | asked | Dr. Evil | CC BY-SA 3.0 |