Linear extensions of dynamic systems and the reductibility problem

S. B. Katok

doi:10.1007/BF01104372

Linear extensions of dynamic systems and the reductibility problem

S. B. Katok

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Abstract

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 Γ-cohomologies in the neighborhood of a constant cocycle for the case of an arbitrary closed subgroup Γ of the group GL (k, C).

Original language	English (US)
Pages (from-to)	722-728
Number of pages	7
Journal	Mathematical Notes of the Academy of Sciences of the USSR
Volume	8
Issue number	4
DOIs	https://doi.org/10.1007/BF01104372
State	Published - Oct 1970

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/BF01104372

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title = "Linear extensions of dynamic systems and the reductibility problem",

abstract = "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 Γ-cohomologies in the neighborhood of a constant cocycle for the case of an arbitrary closed subgroup Γ of the group GL (k, C).",

author = "Katok, {S. B.}",

year = "1970",

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T1 - Linear extensions of dynamic systems and the reductibility problem

AU - Katok, S. B.

PY - 1970/10

Y1 - 1970/10

N2 - 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 Γ-cohomologies in the neighborhood of a constant cocycle for the case of an arbitrary closed subgroup Γ of the group GL (k, C).

AB - 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 Γ-cohomologies in the neighborhood of a constant cocycle for the case of an arbitrary closed subgroup Γ of the group GL (k, C).

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DO - 10.1007/BF01104372

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AN - SCOPUS:34250447338

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JO - Mathematical Notes of the Academy of Sciences of the USSR

JF - Mathematical Notes of the Academy of Sciences of the USSR

IS - 4

ER -

Linear extensions of dynamic systems and the reductibility problem

Abstract

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