Kernels of derivations of polynomial rings and Casimir elements

• Date: 2010
• Main Authors: Bedratyuk, L. P., Бедратюк, Л. П.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2878
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We propose an algorithm for the evaluation of elements of the kernel of an arbitrary derivation of a polynomial ring. The algorithm is based on an analog of the well-known Casimir element of a finite-dimensional Lie algebra. By using this algorithm, we compute the kernels of Weitzenböck derivation $...