We study the Iwasawa-type decomposition of an open subset of SL(n,C) as
SU(p,q)AN. We show that the dressing action of SU(p,q) is globally defined on
the space of admissible elements in AN. We also show that the space of
admissible elements is a multiplicative subset of AN. We establish a geometric
criterion: the symmetrization of an admissible element maps the positive cone
in C^n into itself.Comment: 10 page

Foth, Philip