Unitarization of Loop Group Representations of Fundamental Groups
Keyword(s):
AbstractIn 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.
2007 ◽
Vol 25
(3)
◽
pp. 281-289
◽
2010 ◽
Vol 223
(3)
◽
pp. 949-986
◽
2013 ◽
Vol 220
◽
pp. 316-323
◽
2010 ◽
Vol 362
(06)
◽
pp. 2845-2857
◽
2012 ◽
Vol 61
(1)
◽
pp. 123-131
◽
Keyword(s):
1990 ◽
Vol 8
(3)
◽
pp. 217-226
◽