Kernels of derivations of polynomial rings and Casimir elements
Abstract
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 $d(x_i ) = x_{i−1},\; d(x_0) = 0,\;i = 0,…, n$, for the cases where $n ≤ 6$.Downloads
Published
25.04.2010
Issue
Section
Research articles
How to Cite
Bedratyuk, L. P. “Kernels of Derivations of Polynomial Rings and Casimir Elements”. Ukrains’kyi Matematychnyi Zhurnal, vol. 62, no. 4, Apr. 2010, pp. 435–452, https://umj.imath.kiev.ua/index.php/umj/article/view/2878.