%0 Journal Article
%T A Note on Iwasawa-Type Decomposition
%A Philip Foth
%J International Journal of Mathematics and Mathematical Sciences
%D 2011
%I Hindawi Publishing Corporation
%R 10.1155/2011/135167
%X We study the Iwasawa-type decomposition of an open subset of SL(,£¿) as SU(,). We show that the dressing action of SU(,) is globally defined on the space of admissible elements in . We also show that the space of admissible elements is a multiplicative subset of . We establish a geometric criterion: the symmetrization of an admissible element maps the positive cone in £¿ into itself.
%U http://www.hindawi.com/journals/ijmms/2011/135167/