Centralizers of elements in Lie algebras of derivations of fields

• Date: 2015
• Main Authors: Lysenko, S. V., Petravchuk, A. P., Stepukh, V. V., Лисенко, С. В., Петравчук, A. П., Степух, В. В.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2015
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/10
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

Let $K$ be an algebraically closed field of characteristic zero and $R$ an algebraic extension of the field of rational functions $K(x_1,.,x_n)$ in $n$ variables. We study centralizers of elements in the Lie algebra $Der_{K}R$ of all $K$-derivations of the field $R.$If $F$ is the field of constants...