Locally nilpotent derivations and Nagata-type utomorphisms of a polynomial algebra

• Date: 2009
• Main Authors: Bodnarchuk, Yu. V., Prokof’ev, P. H., Боднарчук, Ю. В., Прокоф'єв, П. Г.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3077
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study locally nilpotent derivations belonging to a Lie algebra $sa_n$ of a special affine Cremona group in connection with the root decompositions of sa n relative to the maximum standard torus. It is proved that all root locally nilpotent derivations are elementary. As a continuation of this res...