Introduction to Prehomogeneous Vector Spaces

Erscheinungsjahr 2002
ISBN: 978-0-8218-2767-3
Verlag: American Mathematical Society

Buch, Englisch, Band 215, Format (B × H): 187 mm x 263 mm, Gewicht: 736 g

Reihe: Translations of Mathematical Monographs

This volume introduces the theory of prehomogeneous vector spaces. It explains the basic concepts of these, as well as the fundamental theorem, the zeta functions associated with them and a classification theory of those found to be irreducible.

This volume introduces the theory of prehomogeneous vector spaces, a field pioneered in the 1970s by Mikio Sato. The author was an early and important developer of the theory and continues to be active in the field. The subject combines elements of severa

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

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Algebra Homologische Algebra