On nilpotent Lie algebras of derivations of fraction fields

• Date: 2016
• Main Author: Petravchuk, Anatoliy P.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2016
• Subjects: Lie algebra; vector field; nilpotent algebra; derivation; Primary 17B66; Secondary 17B05; 13N15
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/275
• Journal Title: Algebra and Discrete Mathematics

Let \(\mathbb K\) be an arbitrary  field of characteristic zero and \(A\)  an integral \(\mathbb K\)-domain. Denote by \(R\) the fraction field of \(A\) and by \(W(A)=RDer_{\mathbb K}A,\) the Lie algebra of  \(\mathbb K\)-derivations on \(R\) obtained from \(Der_{\mathbb K}A\) via multiplication by...