Kernels of derivations of polynomial rings and Casimir elements

Authors

  • L. P. Bedratyuk Хмельниц. нац. ун-т

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 $n ≤ 6$.

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.