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A Note on Iwasawa-Type Decomposition

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  • Philip Foth

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.

Suggested Citation

  • Philip Foth, 2011. "A Note on Iwasawa-Type Decomposition," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-10, April.
    • Handle: RePEc:hin:jijmms:135167
    DOI: 10.1155/2011/135167
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