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Factorization of loops in loop groups. (English) Zbl 1248.22010

Summary: We deal with loops in the loop group of a compact Lie group. In this context, we obtain generalizations of several results on the existence of a Birkhoff factorization for matrices with parameters and outline their applications to the Riemann-Hilbert problem in loop spaces discussed in preceding papers of the authors.

MSC:

22E67 Loop groups and related constructions, group-theoretic treatment
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