Invariant Rings of Adjacent-Quadratic Triangular Derivations

Ahmed M. Adly

Let $k$ be a field of characteristic zero and $D_N(a_n)=a_{n+1}{a}_{n+2}$ the adjacent-quadratic locally nilpotent derivation on $A_N=k[a_0,\dots ,a_N]$. We determine the invariant ri…