The dynamics of on redundant representations

  • Tsachik Gelander

    The Hebrew University of Jerusalem, Israel
  • Yair N. Minsky

    Yale University, New Haven, United States


We study some dynamical properties of the canonical -action on the space of redundant representations of the free group in , where is the group of rational points of a simple algebraic group over a local field. We show that this action is always minimal and ergodic, confirming a conjecture of A. Lubotzky. On the other hand for the classical cases where or we show that the action is not weak mixing, in the sense that the diagonal action on is not ergodic.

Cite this article

Tsachik Gelander, Yair N. Minsky, The dynamics of on redundant representations. Groups Geom. Dyn. 7 (2013), no. 3, pp. 557–576

DOI 10.4171/GGD/197