Timeline for weyl group representations
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 10, 2011 at 21:16 | vote | accept | wky | ||
| Apr 10, 2011 at 14:53 | answer | added | Jim Humphreys | timeline score: 7 | |
| Apr 9, 2011 at 12:30 | comment | added | Jim Humphreys | Besides Section 8.10 of my book, realizations of the exceptional reflection groups in Sections 2.12-2.13 include references to relevant character tables in the Atlas of Finite Simple Groups. For types A, B/C, D, combinatorial treatments starting with symmetric groups are optimal and even give some closed formulas for dimensions, but for other types of rank >2 it's hard to construct explicit matrix representations. Anyway, these approaches require case-by-case treatment. Springer theory unifies Weyl group representations but doesn't give more information about characters. | |
| Apr 8, 2011 at 22:43 | comment | added | Victor Ostrik | You can find a lot of information in the book "Characters of finite Coxeter groups and Iwahori-Hecke algebras" by Geck and Pfeiffer. | |
| Apr 8, 2011 at 21:10 | comment | added | Christopher Drupieski | Section 8.10 of James Humphreys' book "Reflection groups and Coxeter groups" lists a number of references for the representations of Weyl groups (and, more generally, finite reflection groups). | |
| Apr 8, 2011 at 20:58 | answer | added | Faisal | timeline score: 4 | |
| Apr 8, 2011 at 20:24 | history | asked | wky | CC BY-SA 3.0 |