Hostname: page-component-848d4c4894-x24gv Total loading time: 0 Render date: 2024-05-11T04:56:39.613Z Has data issue: false hasContentIssue false
  • English
  • Français

Livšic's theorem for semisimple Lie groups

Published online by Cambridge University Press:  08 October 2001

MATTHEW NICOL  and
MARK POLLICOTT
MATTHEW NICOL
Affiliation:
Department of Mathematics and Statistics, University of Surrey, Guildford GU2 7XH, UK
MARK POLLICOTT
Affiliation:
Mathematics Department, University of Manchester, Oxford Rd, Manchester M13 9PL, UK (e-mail: mp@ma.man.ac.uk)
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we show that strong generalizations of the measurable Livšic theorem for cocycles taking values in connected non-compact linear semisimple Lie groups, a canonical example being SL(2, \mathbb{R}), can be deduced from an elegant approach of Brin and Pesin to the dynamics of partially hyperbolic systems.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 21 , Issue 5 , October 2001 , pp. 1501 - 1509
Copyright
2001 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)