Richardson orbits for real classical groups

摘要: Abstract For classical real Lie groups, we compute the annihilators and associated varieties of derived functor modules cohomologically induced from trivial representation. (Generalizing standard terminology for complex nilpotent orbits that arise as such are called Richardson orbits.) We show every special orbit has a form which is Richardson. As consequence annihilator calculations, give many new infinite families simple highest weight with irreducible varieties. Finally sketch analogous computations singular in weakly fair range and, an application, outline method to detect non-normality closures.