Hostname: page-component-7b7567c8c-wxvwp Total loading time: 0 Render date: 2026-11-14T21:28:02.841Z 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)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

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.

Information

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