Transformations Groups of the Andersson-Perlman Cone.
An Andersson-Perlman cone is a certain
subcone of the symmetric cone of a Euclidean Jordan algebra.
We exhibit a subgroup of the automorphism group of
the symmetric cone which operates transitively on
the Andersson-Perlman cone. As a corollary we obtain that
the Andersson-Perlman cone is a simply-connected submanifold.
The paper has appeared in the Journal of Lie Theory 9 (1999), 203--213.
Erhard Neher <
neher@uottawa.ca >