|
|||||
|
|
Root differences for A n |
|
| Authors: | C Bates D Bundy S Perkins P Rowley |
| Institution: | 1. School of Mathematics, University of Manchester, P.O. Box 88, Manchester, M60 1QD, United Kingdom 3. Mathematisches Seminar, Christian-Albrechts-Universit?t Kiel, Ludewig-Meyn Str. 4, D-24098, Kiel, Germany 2. School of Economics, Mathematics and Statistics, Birkbeck College, Malet Street, London, WC1E 7HX, United Kingdom |
| Abstract: | Suppose W is a Weyl group with Φ = Φ(W) a root system of W. The set D of root differences is given by D = {α − β : α, β, ∈ Φ}. We define t(Φ) to be the maximum exponent of the torsion subgroup of
for any
In this article we show that if W is of type An, then t(Φ) = 2n.
Received: 25 November 2004 |
| Keywords: | 20F55 |
| 本文献已被 SpringerLink 等数据库收录！ | |