Associated Varieties and Unipotent Representations

摘要: Suppose G ℝ is a semisimple Lie group. The philosophy of coadjoint orbits, as propounded by Kirillov and Kostant, suggests that unitary rep-resentations are closely related to the orbits on dual \( \mathfrak{g}_{\mathbb{R}}^{ * } \) algebra g ℝ. One knows how attach representations but methods used (which rely existence nice “polarizing subalgebras” g) cannot be applied most nilpotent orbits.