Kernel method for Möbius transformations and hyperbolic representations of groups
arXiv:2607.14873
summary
The paper introduces a kernel technique for analyzing isometric actions of groups on real or complex hyperbolic spaces, using it to classify representations of PSL₂(ℝ) and to provide necessary and sufficient conditions for conjugacy of such representations for any group.
Abstract
A new kernel method is introduced for isometric actions of groups on real or complex hyperbolic spaces that allows us to classify such representations for and give sufficient and necessary conditions for two such representations of any group to be conjugated.
Topics & keywords
#kernel methods#möbius transformations#hyperbolic geometry#group representations#psl(2,r)kernel methodisometric group actionsreal hyperbolic spacecomplex hyperbolic spaceconjugacy classification