Semisimple algebras of vector fields on C^N of maximal rank
arXiv:2309.10545
Abstract
A classification of semisimple algebras of vector fields on C^N that have a Cartan subalgebra of dimension N is given. The proof uses basic representation theory and the local canonical form of semisimple Lie algebras of vector fields.
Final version. Journal of Lie Theory (to appear)