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Journal of Lie Theory 20 (2010), No. 1, 093--112
Copyright Heldermann Verlag 2010



Unitary Loop Groups and Factorization

Doug Pickrell
Mathematics Department, University of Arizona, Tucson, AZ 85721, U.S.A.
pickrell@math.arizona.edu

Benjamin Pittman-Polletta
Mathematics Department, University of Arizona, Tucson, AZ 85721, U.S.A.
bpolletta@math.arizona.edu



We discuss a refinement of triangular factorization for unitary matrix-valued functions on S1.

Keywords: Loop group, triangular factorization.

MSC: 22E67, 20G44, 47A68

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