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  • © 1997

Algebraic Homogeneous Spaces and Invariant Theory

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1673)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-VI
  2. Introduction

    • Frank D. Grosshans
    Pages 1-4
  3. Observable subgroups

    • Frank D. Grosshans
    Pages 5-32
  4. The transfer principle

    • Frank D. Grosshans
    Pages 33-70
  5. Invariants of maximal unipotent subgroups

    • Frank D. Grosshans
    Pages 71-105
  6. Complexity

    • Frank D. Grosshans
    Pages 106-137
  7. Erratum

    • Frank D. Grosshans
    Pages e1-e2
  8. Back Matter

    Pages 138-149

About this book

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.

Keywords

  • Factor
  • Finite
  • Invariant
  • algebra
  • algebraic group
  • algebraic groups
  • boundary element method
  • development
  • group
  • invariant theory
  • knowledge
  • maximum
  • presentation
  • proof
  • theorem
  • matrix theory

Bibliographic Information

  • Book Title: Algebraic Homogeneous Spaces and Invariant Theory

  • Authors: Frank D. Grosshans

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0093525

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1997

  • Softcover ISBN: 978-3-540-63628-1Published: 18 November 1997

  • eBook ISBN: 978-3-540-69617-9Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 152

  • Topics: Group Theory and Generalizations, Algebraic Geometry, Linear Algebra

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions