Ad-nilpotent ideals of complex and real reductive groups
作者： David A. Vogan , Chuying Fang
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摘要: In this thesis, we study ad-nilpotent ideals and its relations with nilpotent orbits, affine Weyl groups, sign types hyperplane arrangements. This thesis is divided into three parts. The first second parts deal for complex reductive Lie groups. the part, left equivalence relation of relate it to some groups types. prove that classical there always exist minimal dimension as conjectured by Sommers. In third define an analogous object connected real which called t-nilpotent subspaces. We subspaces dominant regions arrangement get characteristic polynomials in case U(m, n) Sp( m, n). conjecture a general formula other
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