Marcos José Valenzuela Nena

An explicit non-surjective endomorphism of the third Weyl algebra

We construct an explicit endomorphism φ of the third Weyl algebra A₃(ℚ) that is injective but not surjective. The construction uses Alpöge's Keller map F=(P,Q,R) with constant Jacobian determinant −2. The pullbacks of the partial derivatives are defined via the transposed inverse...