Algebraic Homogeneous Spaces and Invariant Theory / Edition 1

by Frank D. Grosshans

Overview

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.

Product Details

ISBN-13:	9783540636281
Publisher:	Springer Berlin Heidelberg
Publication date:	12/04/1997
Series:	Lecture Notes in Mathematics , #1673
Edition description:	1997
Pages:	152
Product dimensions:	6.10(w) x 9.25(h) x 0.01(d)

Table of Contents

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