Lecture Notes in Mathematics

Grosshans, Frank D.

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.

Details

Published by: Springer

Publication Date: 1997-11-18

Format: Paperback

ISBN-13: 9783540636281

DOI: 10.1007/BFb0093525

Dimensions: 235cm x155cm

Pages: 152