A classification of irreducible prehomogeneous vector spaces and their relative invariants
作者： M. Sato , T. Kimura
DOI: 10.1017/S0027763000017633
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摘要: LetGbe a connected linear algebraic group, andpa rational representation ofGon a finite-dimensional vector spaceV, all defined over the complex number fieldC.We call such a triplet (G, p, V) aprehomogeneous vector spaceifVhas a Zariski-denseG-orbit. The main purpose of this paper is to classify all prehomogeneous vector spaces whenpis irreducible, and to investigate their relative invariants and the regularity.
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