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On the regularity of prehomogeneous vector spaces

On the regularity of prehomogeneous vector spaces

Introduction.0.1.Let G be a complex linear algebraic group, and V (4= 0) a complex vector space on which G acts via a rational representa- tion.Let V v denote the dual space of V, on which G acts naturally. 0.2.If V has an open G-orbit, then (G, V) is called a …