Generating Rational Loop Groups with Noncompact Reality Conditions

Authors

  • Oliver Goertsches

DOI:

https://doi.org/10.7146/math.scand.a-15569

Abstract

We find generators for the full rational loop group of GL(n,C) as well as for the subgroup consisting of loops that satisfy the reality condition with respect to the noncompact real form GL(n,R). We calculate the dressing action of some of those generators on the positive loop group, and apply this to the ZS-AKNS flows and the n-dimensional system associated to GL(n,R)/O(n).

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Published

2013-12-01

How to Cite

Goertsches, O. (2013). Generating Rational Loop Groups with Noncompact Reality Conditions. MATHEMATICA SCANDINAVICA, 113(2), 187–205. https://doi.org/10.7146/math.scand.a-15569

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Articles