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Introduction

  • Hanspeter Kraft
  • Ted Petrie
  • Gerald W. Schwarz
Part of the Progress in Mathematics book series (PM, volume 80)

Abstract

The subject of smooth transformation groups has been strongly influenced by the following two central problems:
  • Smooth Linearization Problem: Is every smooth action of a compact Lie group on Euclidean space conjugate to a linear action?

  • Smooth Fixed Point Problem: Does every smooth action ofa compact Lie group on Euclidean space have a fixed point?

Keywords

Reductive Group Affine Space Dense Orbit Spherical Variety Reductive Algebraic Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston, Inc. 1989

Authors and Affiliations

  • Hanspeter Kraft
    • 1
  • Ted Petrie
    • 2
  • Gerald W. Schwarz
    • 3
  1. 1.Mathematisches InstitutUniversität BaselBaselSwitzerland
  2. 2.Department of MathematicsRutgers UniversityNew BrunswickUSA
  3. 3.Department of MathematicsBrandeis UniversityWalthamUSA

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