Timeline for The number of irreducible characters of simple groups of Lie type
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 14 at 13:22 | comment | added | Geoff Robinson | If Richard makes all his comments into an answer, you should accept that one instead of mine. | |
| Apr 13 at 16:25 | comment | added | user44312 | You have already given me some references on Question 1 and also some hints on part of Question 2. Richard Lyons answered the rest. So, I accept both of your answers. | |
| Apr 13 at 16:07 | comment | added | Geoff Robinson | Thanks for the accept, but I hope you will get some better answers | |
| Apr 13 at 3:31 | vote | accept | user44312 | ||
| Apr 12 at 17:18 | comment | added | user44312 | Is that called Jordan decomposition of conjugacy classes? I only know the version for $q$-rational points of a simply connected simple algebraic groups. By the way, I found a paper by Franceschi, Liebeck and O'Brien arxiv.org/abs/2401.07557v1 in which it lists some generating functions for groups of lie type. | |
| Apr 12 at 15:57 | comment | added | Geoff Robinson | I think the last problem breaks down in the following way: you need to count/parametrize the semisimple conjugacy classes, and then for each semisimple conjugacy class, you need to count the number of unipotent classes in the centralizer of an element of the chosen semisimple class ( and then sum over all semisimple classes). | |
| Apr 12 at 15:47 | comment | added | Geoff Robinson | There probably are in most cases. Maybe look at papers of Fulman, Guralnick and Stanton | |
| Apr 12 at 15:32 | comment | added | user44312 | Thanks for the link. It makes me wonder that are there generating function for the number of conjugacy classes of simple groups of lie type or the $q$-rational points of a simply connected simple algebraic groups? | |
| Apr 12 at 15:14 | comment | added | Geoff Robinson | Have now put in a link, but you may need other means of access | |
| Apr 12 at 15:11 | history | edited | Geoff Robinson | CC BY-SA 4.0 |
Inserted link
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| Apr 12 at 4:34 | history | answered | Geoff Robinson | CC BY-SA 4.0 |