A classification of irreducible prehomogeneous vector spaces and their relative invariants
Open Access
- 1 March 1977
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 65, 1-155
- https://doi.org/10.1017/s0027763000017633
Abstract
Let G be a connected linear algebraic group, and p a rational representation of G on a finite-dimensional vector space V, all defined over the complex number field C. We call such a triplet (G, p, V) a prehomogeneous vector space if V has a Zariski-dense G-orbit. The main purpose of this paper is to classify all prehomogeneous vector spaces when p is irreducible, and to investigate their relative invariants and the regularity.Keywords
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