Kernels of derivations of polynomial rings and Casimir elements

• Дата: 2010
• Автори: Bedratyuk, L. P., Бедратюк, Л. П.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2010
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2878
• Назва журналу: 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 $...