Algebraic characterization of the isometries of the hyperbolic 5-space

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 $GL(2,\stackrel{˝}{)}$.

arXiv commentrevised and reorganized version

References in corpus (1)

• Dynamical Types of Isometries of the Hyperbolic Space