Giorgadze, Grigory; Khimshiashvili, Giorgi Factorization of loops in loop groups. (English) Zbl 1248.22010 Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 3, 35-38 (2011). 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. Cited in 1 Document MSC: 22E67 Loop groups and related constructions, group-theoretic treatment Keywords:Birkhoff factorization; partial indices; Riemann-Hilbert problem; loop group PDFBibTeX XMLCite \textit{G. Giorgadze} and \textit{G. Khimshiashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 5, No. 3, 35--38 (2011; Zbl 1248.22010)