Dynamics on nilpotent character varieties
Dynamical Systems
2022-11-09 v2 Algebraic Geometry
Representation Theory
Abstract
Let R(N,G) be the connected component of the identity of the variety of representations of a finitely generated nilpotent group N into a connected compact Lie group G, and let X(N,G) be the corresponding moduli space. We show that there exists a natural Out(N)-invariant measure on X(N,G) and that whenever Out(N) has at least one hyperbolic element, the action of Out(N) on X(N,G) is mixing with respect to this measure.
Cite
@article{arxiv.2111.11922,
title = {Dynamics on nilpotent character varieties},
author = {Jean-Philippe Burelle and Sean Lawton},
journal= {arXiv preprint arXiv:2111.11922},
year = {2022}
}
Comments
17 pages, Version 2 has minor updates and corrections, accepted for publication in Conformal Geometry and Dynamics