Algebraic Homogeneous Spaces and Invariant Theory

1997
ISBN: 978-3-540-63628-1
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1673, 152 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 254 g

Reihe: Lecture Notes in Mathematics

The invariant theory of non-reductive groups has its roots in the 19th century but has seen some very interesting developments in the past twenty years. This book is an exposition of several related topics including observable subgroups, induced modules, maximal unipotent subgroups of reductive groups and the method of U-invariants, and the complexity of an action. Much of this material has not appeared previously in book form. The exposition assumes a basic knowledge of algebraic groups and then develops each topic systematically with applications to invariant theory. Exercises are included as well as many examples, some of which are related to geometry and physics.

Zielgruppe

Research

Autoren/Hrsg.

Grosshans, Frank D.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

Observable subgroups.- The transfer principle.- Invariants of maximal unipotent subgroups.- Complexity.- Errata.