Name
Abstract | ||
|---|---|---|
This article is the result of experiments performed using computer programs written in the CAP language. We describe an algorithm which computes a set of rational functions attached to a finite Coxeter group W. Conjecturally, these rational functions should be polynomials, and in the case where W is the Weyl group of a Chevalley group G defined over F-q, the values of our polynomials at q should give the number of F-q-rational points of Lusztig's special pieces in the unipotent variety of G. The algorithm even works for complex reflection groups. We give a number of examples which show, in particular, that our conjecture is true for all types except possibly B-n and D-n. |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1080/10586458.1999.10504405 | EXPERIMENTAL MATHEMATICS |
Keywords | Field | DocType |
rational point,coxeter group,rational function,weyl group | Topology,Coxeter complex,Artin group,Weyl group,Mathematical analysis,Unipotent,Pure mathematics,Group of Lie type,Rational function,Rational point,Mathematics,Coxeter group | Journal |
Volume | Issue | ISSN |
8.0 | 3.0 | 1058-6458 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Meinolf Geck | 1 | 14 | 5.26 |
| Gunter Malle | 2 | 28 | 9.42 |