A Criterion for the Algebraic Density Property of Affine $S{L}_2$-Manifolds

Rafael B. Andrist, Jan Draisma, Gene Freudenburg +2

Let $B$ be an affine $k$-domain which admits a nontrivial fundamental pair $(D,U)$ of locally nilpotent derivations, i.e., if $E=[D,U]$ then $(D,U,E)$ is an ${\mathfrak{sl}}_2$-tripl…