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Algebraic homogeneous spaces and invariant theory / Frank D. Grosshans.

By: Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1673.Publication details: Berlin ; New York : Springer, ©1997.Description: 1 online resource (vi, 148 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540696179
  • 3540696172
Subject(s): Additional physical formats: Print version:: Algebraic homogeneous spaces and invariant theory.DDC classification:
  • 510 s 512.9/44 21
LOC classification:
  • QA3 .L28 no. 1673
  • QA564
Other classification:
  • 31.23
  • 31.51
Online resources:
Contents:
From the contents: Introduction -- Observable Subgroups -- The Transfer Principle -- Invariants of Maximal Unipotent Subgroups -- Complexity -- References -- List of Symbols -- Index.
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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library eBook LN Mathematic Available
Total holds: 0

Includes bibliographical references (pages 138-145) and index.

From the contents: Introduction -- Observable Subgroups -- The Transfer Principle -- Invariants of Maximal Unipotent Subgroups -- Complexity -- References -- List of Symbols -- Index.

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.

Print version record.

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