3 papers
math.GR2026
Kernel method for Möbius transformations and hyperbolic representations of groups
Gonzalo Emiliano Ruiz Stolowicz
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…
math.RT2022
Complex hyperbolic representations of SL2(R)
Gonzalo Ruiz Stolowicz
A complete invariant and a binary combination for irreducible representations of SL2(R) are introduced. With this, a new two-parameter family of representations is defined.
math.MG2022
Real hyperbolic representations of PU(1,n)
Gonzalo Emiliano Ruiz Stolowicz
It is shown that for n bigger than 1, the group of holomorphic isometries of the n dimensional complex hyperbolic space does not admit non-elementary representations into the group…