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Reducibility of quasiperiodic cocycles in linear Lie groups

Research paper by Claire Chavaudret

Indexed on: 03 Oct '08Published on: 03 Oct '08Published in: Mathematics - Dynamical Systems



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).