Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
 


Journal of Lie Theory 16 (2006), No. 1, 047--056
Copyright Heldermann Verlag 2006



Symmetry Characterization of Quasisymmetric Siegel Domains by Convexity of Cayley Transform Images

Chifune Kai
Dept. of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan
kai@math.kyoto-u.ac.jp



We characterize symmetric Siegel domains among quasisymmetric Siegel domains by means of the Cayley transform introduced by Dorfmeister. We show that a quasisymmetric Siegel domain is symmetric if and only if its Cayley transform image is convex.

Keywords: Quasisymmetric Siegel domain, symmetric Siegel domain, Cayley transform, Jordan algebra.

MSC: 32M15; 32H02, 43A85

[ Fulltext-pdf  (162  KB)] for subscribers only.