Matematičeskie zametki, Tome 8 (1970) no. 4, pp. 451-462
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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/
@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},
year = {1970},
volume = {8},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_4_a4/}
}
TY - JOUR
AU - S. B. Katok
TI - Linear extensions of dynamic systems and the reducibility problem
JO - Matematičeskie zametki
PY - 1970
SP - 451
EP - 462
VL - 8
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1970_8_4_a4/
LA - ru
ID - MZM_1970_8_4_a4
ER -
%0 Journal Article
%A S. B. Katok
%T Linear extensions of dynamic systems and the reducibility problem
%J Matematičeskie zametki
%D 1970
%P 451-462
%V 8
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1970_8_4_a4/
%G ru
%F MZM_1970_8_4_a4
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 $GL(k, C)$.
