Weitzenböck derivations of nilpotency 3

David L. Wehlau

We consider a Weitzenböck derivation $\Delta$ acting on a polynomial ring $R=K[{\xi }_1,{\xi }_2,...,{\xi }_m]$ over a field $K$ of characteristic 0. The $K$-algebra $R^{\Delta }=\{h\in R\mid \Delta (h)=0\}$ i…