Acta Mathematica Vietnamica

CURRENT ISSUE


 

RECENT ISSUES

Volume 42, 2017

Volume 41, 2016

Volume 40, 2015

Volume 39, 2014

Volume 38, 2013


 

 
mod_vvisit_countermod_vvisit_countermod_vvisit_countermod_vvisit_countermod_vvisit_countermod_vvisit_countermod_vvisit_countermod_vvisit_countermod_vvisit_counter

Print

 

Trace fields of subgroups of SU(n, 1)
Juliette Genzmer

 

Abstract

In this note, we study the field generated by the traces of subgroups of SU(n, 1). Under some hypotheses, the trace field of a group Γ⊂SU(2,1) is equal to the field generated by the coefficients of the matrices in Γ. If the group is the image of a representation of the fundamental group of a triangulated three-manifold, we can relate the trace field to a geometric invariant. For an arithmetic group of the first type in SU(n, 1), up to conjugacy, the trace field and the field of the coefficients are the same.

You are here: Home No. 3