Algebraic Homogeneous Spaces and Invariant Theory / by Frank D. Grosshans.

Format:

Book

Author/Creator:

Grosshans, Frank D., 1942- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1673.

Lecture Notes in Mathematics, 0075-8434 ; 1673

Language:

English

Subjects (All):

Group theory.

Geometry, Algebraic.

Matrices.

Group Theory and Generalizations.

Algebraic Geometry.

Linear and Multilinear Algebras, Matrix Theory.

Local Subjects:

Group Theory and Generalizations.

Algebraic Geometry.

Linear and Multilinear Algebras, Matrix Theory.

Physical Description:

1 online resource (VIII, 152 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.

System Details:

text file PDF

Summary:

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.

Contents:

Observable subgroups

The transfer principle

Invariants of maximal unipotent subgroups

Complexity

Errata.

Other Format:

Printed edition:

ISBN:

9783540696179

Access Restriction:

Restricted for use by site license.