This is the first introductory book on the theory of prehomogeneous vector spaces, introduced in the 1970s by Mikio Sato
502 60 2MB
English Pages 288 [313] Year 2002
Table of contents :
Content: Algebraic preliminaries Relative invariants of prehomogeneous vector spaces Analytic preliminaries The fundamental theorem of prehomogeneous vector spaces The zeta functions of prehomogeneous vector spaces Convergence of zeta functions of prehomogeneous vector spaces Classification of prehomogeneous vector spaces Appendix: Table of irreducible reduced prehomogeneous vector spaces Bibliography Index of symbols Index.