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Unitarization of Loop Group Representations of Fundamental Groups
Published online by Cambridge University Press: 11 January 2016
Abstract
In this paper, we give a characterization of the simultaneous unitarizability of any finite set of SL(2, ℂ)-valued functions on and determine all possible ways of the unitarization. Such matrix functions can be regarded as images of the generators for the fundamental group of a surface in an -family, and the results of this paper have applications in the construction of constant mean curvature surfaces in space.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 2007
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