Classification of realizations of Lie algebras of vector fields on circle

UDC 517.986.5 The realizations of finite-dimensional Lie algebras of smooth tangent vector fields on circle are described.The ``canonical'' realizations of two-dimensional noncommutative algebra, as well as the algebra $\mathfrak{sl}(2,\mathbb R)$ are constructed. It is shown that...

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Bibliographic Details
Date:2022
Main Authors: Spichak, S. V., Спічак, С. В.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2022
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/6270
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal