2023/10/23 by Audibert, Jacques, Zshornack, Michael
#22E40 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)
paper · doi:10.48550/arxiv.2310.15121
A consequence of Rapinchuk et al. is that for S a closed surface of genus g≥ 2, the set of Hitchin representations of π1(S) with image in SL(n,ℚ) is dense in the Hitchin component. We give a dynamical proof of this fact provided that g≥ 3. Moreover, we extend it to some other ℚ-groups such as Sp(2k,ℚ) and G2(ℚ), where the results are new.