Algebraic characterization of the isometries of the hyperbolic 5-space
classification
🧮 math.GT
math.DS
keywords
isometriesalgebraiccharacterizationclassesconjugacyhyperbolicspacealgebra
read the original abstract
Using the representation of the isometries as 2x2 invertible matrices over the division algebra $\H$ of quaternions, we give an algebraic characterization of the dynamical types of the orientation-preserving isometries of the hyperbolic 5-space. We also determine the conjugacy classes and the conjugacy classes of centralizers or the z-classes in $GL(2, \H)$.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.