Reducibility of quasiperiodic cocycles in linear Lie groups
Dynamical Systems
2008-10-06 v1
Abstract
Let G be a linear Lie group. We define the G-reducibility of a continuous or discrete cocycle modulo N. We show that a G-valued continuous or discrete cocycle which is GL(n,C)-reducible is in fact G-reducible modulo 2 if G=GL(n,R),SL(n,R),Sp(n,R) or O(n) and modulo 1 if G=U(n).
Cite
@article{arxiv.0810.0651,
title = {Reducibility of quasiperiodic cocycles in linear Lie groups},
author = {Claire Chavaudret},
journal= {arXiv preprint arXiv:0810.0651},
year = {2008}
}