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math.RT2007
Functional analytic background for a theory of infinite-dimensional reductive Lie groups
Daniel Beltita
Motivated by the interesting and yet scattered developments in representation theory of Banach-Lie groups, we discuss several functional analytic issues which should underlie the n…
math.RT2007
Iwasawa decompositions of some infinite-dimensional Lie groups
Daniel Beltita
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,…