Tzitz\'eica transformation is a dressing action
微分几何
2007-05-23 v1 数学物理
math.MP
摘要
We classify the simplest rational elements in a twisted loop group, and prove that dressing actions of them on proper indefinite affine spheres give the classical Tzitz\'eica transformation and its dual. We also give the group point of view of the Permutability Theorem, construct complex Tzitz\'eica transformations, and discuss the group structure for these transformations.
引用
@article{arxiv.math/0605404,
title = {Tzitz\'eica transformation is a dressing action},
author = {Erxiao Wang},
journal= {arXiv preprint arXiv:math/0605404},
year = {2007}
}