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Reducibility of quasiperiodic cocycles in linear Lie groups

Published online by Cambridge University Press:  10 May 2010

CLAIRE CHAVAUDRET
CLAIRE CHAVAUDRET*
Affiliation:
Institut de Mathématiques de Jussieu, 175 rue du Chevaleret, 75013 Paris, France (email: [email protected])
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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 two if G=GL(n,ℝ),SL(n,ℝ),Sp(n,ℝ) or O(n) and modulo one if G=U(n) .

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 31 , Issue 3 , June 2011 , pp. 741 - 769
Copyright
Copyright © Cambridge University Press 2010

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