Structure of groups of nonlinear automorphisms for (\(3,3\)) quadrics
The problems related to the structure of the Lie group of nonlinear automorphisms for \((k,n)\) quadrics are considered. It is proved that the Lie group and the corresponding Lie algebra are nilpotent of rank 2. A description of the multiplication law for this group in terms of the Lie algebra is given. The formulas for nonlinear automorphisms of nondegenerate (3,3) quadrics are obtained.
groups of nonlinear automorphisms of quadrics
scientific article; zbMATH DE number 1028511