Geodesic
Linear extensions of dynamic systems and the reducibility problem
Matematičeskie zametki, Tome 8 (1970) no. 4, pp. 451-462.

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The relation of linear extensions of smooth dynamic systems to cohomologies and to reducibility in the case of flow is investigated. A result is obtained concerning $\Gamma$-cohomologies in the neighborhood of a constant cocycle for the case of an arbitrary closed subgroup $\Gamma$ of the group $GL(k, C)$. 
@article{MZM_1970_8_4_a4,
     author = {S. B. Katok},
     title = {Linear extensions of dynamic systems and the reducibility problem},
     journal = {Matemati\v{c}eskie zametki},
     pages = {451--462},
     publisher = {mathdoc},
     volume = {8},
     number = {4},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_4_a4/}
}
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S. B. Katok. Linear extensions of dynamic systems and the reducibility problem. Matematičeskie zametki, Tome 8 (1970) no. 4, pp. 451-462. http://geodesic.mathdoc.fr/item/MZM_1970_8_4_a4/