Let θ : g → g be an involution of a complex semisimple Lie algebra, k ⊂ g the fixed points of θ, and V = g/k the corresponding symmetric space. The adjoint form K of k naturally acts on V . The orbits and invariants of this representation were studied by Kostant and Rallis in [KR]. Let X = K\\V be the invariant theory quotient, and f : V → X be the quotient map. The space X is isomorphic to C. ...
