On nilpotent Lie algebras of derivations with large center

• Date: 2016
• Main Author: Sysak, Kateryna
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2016
• Subjects: derivation; Lie algebra; nilpotent Lie subalgebra; triangular derivation; polynomial algebra.; Primary 17B66; Secondary 17B30; 13N15.
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/132
• Journal Title: Algebra and Discrete Mathematics

Let \(\mathbb K\) be a field of characteristic zero and \(A\) an associative commutative \(\mathbb K\)-algebra that is an integral domain. Denote by \(R\) the quotient field of \(A\) and by \(W(A)=R\operatorname{Der} A\) the Lie algebra of derivations on \(R\) that are products of elements of \(R\)...