Abstract :
For a semisimple Lie algebra , the orbit method attempts to assign representations of to (coadjoint) orbits in . Orbital varieties are particular Lagrangian subvarieties of such orbits leading to highest weight representations of . In orbital varieties are described by Young tableaux. In this paper we consider so-called Richardson orbital varieties in . A Richardson orbital variety is an orbital variety whose closure is a standard nilradical. We show that in a Richardson orbital variety closure is a union of orbital varieties. We give a complete combinatorial description of such closures in terms of Young tableaux. This is the second paper in the series of three papers devoted to a combinatorial description of orbital variety closures in in terms of Young tableaux
