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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)
DOI: https://doi.org/10.1090/memo/0574
MathSciNet review: 1317939
MSC: Primary 58F14; Secondary 57S15, 58E09, 58F36
Table of Contents
Chapters
- 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