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Symmetry breaking for compact Lie groups

About this Title

Michael Field

Publication: Memoirs of the American Mathematical Society
Publication Year 1996: Volume 120, Number 574
ISBNs: 978-0-8218-0435-3 (print); 978-1-4704-0159-7 (online)
MathSciNet review: 1317939
MSC: Primary 58F14; Secondary 57S15, 58E09, 58F36

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Table of Contents


  • 1. Introduction
  • 2. Technical preliminaries and basic notations
  • 3. Branching and invariant group orbits
  • 4. Genericity theorems
  • 5. Finitely determined bifurcation problems I
  • 6. Finitely-determined bifurcation problems II
  • 7. Strong determinacy: Technical preliminaries
  • 8. Strong determinacy: $\Gamma $ finite
  • 9. Strong determinacy: $\Gamma $ compact, non-finite
  • 10. Proofs of the parametrization theorems
  • 11. An application to the equivariant Hopf bifurcation
  • Appendix A. Branches of relative equilibria