Centralizers of linear and locally nilpotent derivations

• Date: 2023
• Main Authors: Bedratyuk, L., Petravchuk, A., Chapovskyi, Ie., Бедратюк, Леонід, Петравчук, Анатолій, Чаповський, Євген
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7529
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.715, 512.554.31 Let $\mathbb{K}$ be an algebraically closed field of characteristic zero, $\mathbb{K}[x_1,\dots,x_n]$ be the polynomial algebra and $W_n(\mathbb{K})$ be the Lie algebra of all $\mathbb K$-derivations on $\mathbb{K}[x_1,\dots,x_n].$ For any derivation $D$ with linear component...