Correction to: A classification of nilpotent compatible Lie algebras (Rendiconti del Circolo Matematico di Palermo Series 2, (2025), 74, 1, (70), 10.1007/s12215-024-01126-z)

We have made a computational mistake when calculating the orbits of some cocycles in Section 4.4 of the original paper. This makes it so that three families of orbits (and thus three compatible Lie algebra isomorphism families), which previously depended on the field structure, now do not, and now depend on one less parameter. Thus, the classification is independent of the base field (as long as the characteristic is not 2). Section4.4:IntheclassificationoftheextensionsofNCL3,2 The computatio...