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Algebraic Homogeneous Spaces and Invariant Theory [electronic resource] / by Frank D. Grosshans.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 1673Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997Description: VIII, 152 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540696179
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 512.2 23
LOC classification:
  • QA174-183
Online resources:
Contents:
Observable subgroups -- The transfer principle -- Invariants of maximal unipotent subgroups -- Complexity -- Errata.
In: Springer eBooksSummary: 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.
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Observable subgroups -- The transfer principle -- Invariants of maximal unipotent subgroups -- Complexity -- Errata.

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.

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