Complexity and nilpotent orbits
Let \(G\) be a connected reductive algebraic group defined over an algebraically closed field of characteristic zero, and let \(H\) be an algebraic subgroup of \(G\). The rank and complexity of the homogeneous space \(G/H\) play an important role in describing normal \(G\)-equivariant embeddings of \(G/H\). The author of this paper gives some new formulas, which reduce the problem to finding stabilizers of general position in linear representations of \(G\). As an application, a description of spherical (i.e. of complexity zero) nilpotent orbits is obtained.
scientific article; zbMATH DE number 624933