Bessa, MárioBochi, JairoCambrainha, MichelMatheus, CarlosVarandas, PauloXu, Disheng2023-05-242023-05-242017Bessa, M., Bochi, J., Cambrainha, M. et al. Positivity of the Top Lyapunov Exponent for Cocycles on Semisimple Lie Groups over Hyperbolic Bases. Bull Braz Math Soc, New Series 49, 73–87 (2018)http://hdl.handle.net/10400.2/13817A theorem of Viana says that almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents. In this note we extend this result to cocycles on any noncompact classical semisimple Lie group.engjournal article10.1007/s00574-017-0048-6