Integrable generators of Lie algebras of vector fields on ${\rm SL}_2({\mathbb C})$ and on $xy = z^2$Andrist, Rafael Benedikt (Avtor) density propertyfinitely generated Lie algebracompletely integrable vector fieldsAndersen–Lempert theoryinfinitely transitiveFor the special linear group ${\rm SL}_2({\mathbb C})$ and for the singular quadratic Danielewski surface $xy = z^2$ we give explicitly a finite number of complete polynomial vector fields that generate the Lie algebra of all polynomial vector fields on them. Moreover, we give three unipotent one-parameter subgroups that generate a subgroup of algebraic automorphisms acting infinitely transitively on $xy = z^2$.20232024-01-15 14:12:00Članek v reviji153556UDK: 517.5ISSN pri članku: 1050-6926DOI: 10.1007/s12220-023-01294-xCOBISS_ID: 179950595sl