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2007 Unitarization of loop group representations of fundamental groups
Josef Dorfmeister, Hongyou Wu
Nagoya Math. J. 187: 1-33 (2007).

Abstract

In this paper, we give a characterization of the simultaneous unitarizability of any finite set of $\operatorname{SL}(2, \mathbb{C})$-valued functions on $\mathbb{S}^{1}$ 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 $\mathbb{S}^{1}$-family, and the results of this paper have applications in the construction of constant mean curvature surfaces in space.

Citation

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Josef Dorfmeister. Hongyou Wu. "Unitarization of loop group representations of fundamental groups." Nagoya Math. J. 187 1 - 33, 2007.

Information

Published: 2007
First available in Project Euclid: 4 September 2007

zbMATH: 1135.22020
MathSciNet: MR2354553

Subjects:
Primary: 22E67
Secondary: 53A10 , 53C42

Rights: Copyright © 2007 Editorial Board, Nagoya Mathematical Journal

JOURNAL ARTICLE
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Vol.187 • 2007
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