Quadratic and cubic invariants of unipotent affine automorphisms

V V Bavula, T H Lenagan

Let $K$ be an arbitrary field of characteristic zero, $P_n:=K[x_1,...,x_n]$ be a polynomial algebra, and $P_{n,x_1}:=K[x_1^{-1},x_1,...,x_n]$, for $n\ge 2$. Let $\s' \in…