Most Hitchin representations are strongly dense
Group Theory
2022-02-21 v1 Geometric Topology
Abstract
We prove that generic Hitchin representations are strongly dense: every pair of non commuting elements in their image generate a Zariski-dense subgroup of SL_n(R). The proof uses a theorem of Rapinchuk, Benyash-Krivetz and Chernousov, to show that the set of Hitchin representations is Zariski-dense in the variety of representations of a surface group in SL_n(R).
Cite
@article{arxiv.2202.09306,
title = {Most Hitchin representations are strongly dense},
author = {D. D. Long and A. W. Reid and M. Wolff},
journal= {arXiv preprint arXiv:2202.09306},
year = {2022}
}