Iwasawa decompositions of some infinite-dimensional Lie groups

Details Iwasawa decompositions of some infinite-dimensional Lie groups Iwasawa decompositions of some infinite-dimensional Lie groups

2007-01-15

arxiv.org/abs/math/0701404v1

Mathematics

Representation Theory

25 pages

Scientific paper

We set up an abstract framework that allows the investigation of Iwasawa decompositions for involutive infinite-dimensional Lie groups modeled on Banach spaces. As an application, we construct Iwasawa decompositions for classical real or complex Banach-Lie groups associated with the Schatten ideals ${\mathfrak S}_p({\mathcal H})$ on a complex separable Hilbert space ${\mathcal H}$ if $1

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