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Livsic's Theorem for Semisimple Lie Groups
Journal article   Open access

Livsic's Theorem for Semisimple Lie Groups

Matthew Nicol and Mark Pollicott
Dynamical Systems, pp.1501-1509
Dynamical Systems
08/10/2001

Abstract

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

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