Algebraic Homogeneous Spaces and Invariant Theory

Know about the book -

Algebraic Homogeneous Spaces and Invariant Theory is written by Frank D. Grosshans and published by Springer. It's available with International Standard Book Number or ISBN identification 3540696172 (ISBN 10) and 9783540696179 (ISBN 13).

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.