A Note on Iwasawa-Type Decomposition

Philip Foth

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-10

Abstract:

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:135167

DOI: 10.1155/2011/135167

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