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20240329122006.0 |
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140908t19961996riu ob 000 0 eng d |
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|a E7B
|b eng
|e rda
|e pn
|c E7B
|d OCLCO
|d EBLCP
|d OCLCQ
|d OCLCF
|d OCLCQ
|d OCLCO
|d OCLCQ
|d QGK
|d K6U
|d OCLCO
|d OCLCQ
|d OCLCO
|d OCLCL
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|a 1259130924
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|a 9781470401597
|q (e-book)
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|a 1470401592
|q (e-book)
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|z 9780821804353
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|a (OCoLC)891386275
|z (OCoLC)1259130924
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|a QA380
|b .F545 1996eb
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|a 515/.353
|2 20
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|a UAMI
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|a Field, Mike,
|e author.
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|a Symmetry breaking for compact Lie groups /
|c Michael Field.
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|a Providence, Rhode Island :
|b American Mathematical Society,
|c 1996.
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|c ©1996
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| 300 |
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|a 1 online resource (185 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Memoirs of the American Mathematical Society,
|x 0065-9266 ;
|v Number 574
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| 500 |
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|a "March 1996, Volume 120, Number 574 (second of 4 numbers)."
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|a Includes bibliographical references.
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|a Print version record.
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|a ""Contents""; ""1. Introduction""; ""1.1. Notes for the reader""; ""1.2. Acknowledgements""; ""2. Technical Preliminaries and Basic Notations""; ""2.1. Î?-sets and isotropy types""; ""2.2. Representations""; ""2.3. Isotropy types for representations""; ""2.4. Polynomial Invariants and Equivariants""; ""2.5. Smooth families of equivariant maps""; ""2.6. Normalized families""; ""3. Branching and invariant group orbits""; ""3.1. Relative equilibria and normal hyperbolicity""; ""3.2. Branches of relative equilibria""; ""3.3. The branching pattern""; ""3.4. Stabilities""
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|a ""3.5. Branching conditions""""3.6. The signed indexed branching pattern""; ""3.7. Stable families""; ""3.8. Determinacy""; ""3.9. Strong determinacy""; ""4. Genericity theorems""; ""4.1. Semi-algebraic and semi-analytic sets""; ""4.2. Invariant and equi variant generators""; ""4.3. The variety Σ""; ""4.4. Stability theorems I: Weak regularity""; ""4.5. Stability theorems II: Regular families""; ""4.6. Determinacy""; ""4.7. Examples related to finite reflection groups""; ""5. Finitely determined bifurcation problems I""; ""5.1. The phase vector field""
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|a ""5.2. The spaces A[sub(h)](Î?,V), B[sub(h)](Î?,V)""""5.3. Strong determinacy""; ""6. Finitely-determined bifurcation problems II""; ""6.1. Statement of the main theorem""; ""6.2. 2-stable relative equilibria""; ""7. Strong determinacy: Technical preliminaries""; ""7.1. Introduction""; ""7.2. Notational conventions""; ""7.3. Local geometry""; ""7.4. Weakly regular families""; ""7.5. Analytic families and solution branches""; ""7.6. Compatible parametrizations and initial exponents""; ""7.7. Remarks on the set Î?(f)""; ""7.8. The parametrization theorem""; ""7.9. The space R[sup(2)]""
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|a ""7.10. Initial exponents and the space R[sup(3)]""""8. Strong determinacy: Î? finite""; ""8.1. Analytic parametrizations""; ""8.2. Estimates on eigenvalues""; ""8.3. Fractional power series""; ""8.4. Eigenvalue estimates: Analytic case""; ""8.5. Eigenvalue estimates: Smooth case""; ""8.6. Proof of Theorem 8.2.6""; ""8.7. Strong determinacy: Î? finite""; ""8.8. Formation of new branches under perturbation""; ""9. Strong determinacy: Î? compact, non-finite""; ""9.1. Polar blowing-up: Local theory""; ""9.2. Polar blowing-up: Global theory""; ""9.3. Polar blowing-up a Î?-manifold""
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|a 9.4. Blowing- up9.4.1. Blowing-up along a linear subspace -- 9.4.2. Blowing-up analytic varieties -- 9.4.3. Blowing-up algebraic varieties -- 9.5. Conical sets -- 9.6. Algebraic and analytic structure of the orbit strata -- 9.7. Blowing-up representations -- 9.7.1. Analytic theory -- 9.7.2. Algebraic theory -- 9.8. A tangent and normal decomposition -- 9.9. Blowing-up arcs -- 9.10. Analytic parametrizations of solution branches -- 9.11. Lifting analytic parametrizations -- 9.12. Controlling the lifts of analytic parametrizations
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| 546 |
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|a English.
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 650 |
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|a Bifurcation theory.
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| 650 |
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|a Lie groups.
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| 650 |
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|a Théorie de la bifurcation.
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| 650 |
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|a Groupes de Lie.
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| 650 |
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|a Bifurcation theory
|2 fast
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| 650 |
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7 |
|a Lie groups
|2 fast
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| 758 |
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|i has work:
|a Symmetry breaking for compact Lie groups (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCFRqBxJpbYWmpCJq8wPwyd
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a Field, Mike.
|t Symmetry breaking for compact Lie groups.
|d Providence, Rhode Island : American Mathematical Society, ©1996
|h viii, 170 pages
|k Memoirs of the American Mathematical Society ; Number 574
|x 0065-9266
|z 9780821804353
|
| 830 |
|
0 |
|a Memoirs of the American Mathematical Society ;
|v no. 574.
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113995
|z Texto completo
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| 936 |
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|a BATCHLOAD
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| 938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL3113995
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| 938 |
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|a ebrary
|b EBRY
|n ebr10918948
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| 994 |
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|a 92
|b IZTAP
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