General theory of Lie groupoids and Lie algebroids:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2005
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | London Mathematical Society lecture note series
213 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXXV, 501 S. |
| ISBN: | 0521499283 9780521499286 |
Internformat
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| 100 | 1 | |a Mackenzie, Kirill C.H. |e Verfasser |0 (DE-588)1089362366 |4 aut | |
| 245 | 1 | 0 | |a General theory of Lie groupoids and Lie algebroids |c Kirill C. H. Mackenzie |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2005 | |
| 300 | |a XXXV, 501 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series |v 213 | |
| 650 | 4 | |a Lie-Gruppoid - Lie-Algebroid | |
| 650 | 4 | |a Lie algebroids | |
| 650 | 4 | |a Lie groupoids | |
| 650 | 0 | 7 | |a Lie-Gruppoid |0 (DE-588)4224180-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Globale Analysis |0 (DE-588)4021285-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lie-Algebroid |0 (DE-588)4630863-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Globale Analysis |0 (DE-588)4021285-3 |D s |
| 689 | 0 | 1 | |a Lie-Gruppoid |0 (DE-588)4224180-7 |D s |
| 689 | 0 | 2 | |a Lie-Algebroid |0 (DE-588)4630863-5 |D s |
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| 830 | 0 | |a London Mathematical Society lecture note series |v 213 |w (DE-604)BV000000130 |9 213 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-014189233 | ||
Datensatz im Suchindex
| _version_ | 1804134591433277440 |
|---|---|
| adam_text | Contents
Prologue page
Introduction
Preface
PART ONE: THE GENERAL
1
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
2
2.1
2.2
2.3
2.4
2.5
2.6
2.7
vn
VIH
3
Lie Algebroids: Fundamental Theory
85
3.1
Quotients of vector bundles by group actions
86
3.2
The Atiyah sequence of a principal bundle
90
3.3
Lie algebroids
99
3.4
Linear vector fields
110
3.5
The Lie algebroid of a Lie groupoid
119
3.6
The exponential map
132
3.7
Adjoint formulas
141
3.8
Notes
143
4
4.1
4.2
4.3
4.4
4.5
4.6
4.7
PART TWO: THE TRANSITIVE THEORY
5
5.1
5.2
5.3
5.4
5.5
6
6.1
6.2
6.3
6.4
6.5
6.6
Contents
ix
7
Cohomology
257
7.1
Cohomology
260
7.2
Couplings of Lie algebroids and
271
7.3
Non-abelian extensions of Lie algebroids
277
7.4
The spectral sequence
288
7.5
Schouten
304
7.6
Notes
308
8
The Cohomological Obstruction
311
8.1
The classical case
311
8.2
Transition forms and transition data
314
8.3
The obstruction class
323
8.4
Notes
332
PART THREE:
THE
9
9.1
9.2
9.3
9.4
9.5
9.6
9.7
9.8
9.9
10
10.1
10.2
10.3
10.4
10.5
X
11
408
11.1
410
11.2
415
11.3
419
11
420
11.5
429
11.6
439
11.7
442
12
446
12.1
447
12.2
455
12.3
461
12.4
467
12.5
470
Appendix
473
Bibliography
479
Index
496
|
| adam_txt |
Contents
Prologue page
Introduction
Preface
PART ONE: THE GENERAL
1
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
2
2.1
2.2
2.3
2.4
2.5
2.6
2.7
vn
VIH
3
Lie Algebroids: Fundamental Theory
85
3.1
Quotients of vector bundles by group actions
86
3.2
The Atiyah sequence of a principal bundle
90
3.3
Lie algebroids
99
3.4
Linear vector fields
110
3.5
The Lie algebroid of a Lie groupoid
119
3.6
The exponential map
132
3.7
Adjoint formulas
141
3.8
Notes
143
4
4.1
4.2
4.3
4.4
4.5
4.6
4.7
PART TWO: THE TRANSITIVE THEORY
5
5.1
5.2
5.3
5.4
5.5
6
6.1
6.2
6.3
6.4
6.5
6.6
Contents
ix
7
Cohomology
257
7.1
Cohomology
260
7.2
Couplings of Lie algebroids and
271
7.3
Non-abelian extensions of Lie algebroids
277
7.4
The spectral sequence
288
7.5
Schouten
304
7.6
Notes
308
8
The Cohomological Obstruction
311
8.1
The classical case
311
8.2
Transition forms and transition data
314
8.3
The obstruction class
323
8.4
Notes
332
PART THREE:
THE
9
9.1
9.2
9.3
9.4
9.5
9.6
9.7
9.8
9.9
10
10.1
10.2
10.3
10.4
10.5
X
11
408
11.1
410
11.2
415
11.3
419
11
420
11.5
429
11.6
439
11.7
442
12
446
12.1
447
12.2
455
12.3
461
12.4
467
12.5
470
Appendix
473
Bibliography
479
Index
496 |
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| index_date | 2024-07-02T13:24:52Z |
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| language | English |
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| series | London Mathematical Society lecture note series |
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| spelling | Mackenzie, Kirill C.H. Verfasser (DE-588)1089362366 aut General theory of Lie groupoids and Lie algebroids Kirill C. H. Mackenzie 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2005 XXXV, 501 S. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society lecture note series 213 Lie-Gruppoid - Lie-Algebroid Lie algebroids Lie groupoids Lie-Gruppoid (DE-588)4224180-7 gnd rswk-swf Globale Analysis (DE-588)4021285-3 gnd rswk-swf Lie-Algebroid (DE-588)4630863-5 gnd rswk-swf Globale Analysis (DE-588)4021285-3 s Lie-Gruppoid (DE-588)4224180-7 s Lie-Algebroid (DE-588)4630863-5 s DE-604 Erscheint auch als Online-Ausgabe 978-1-107-32588-3 London Mathematical Society lecture note series 213 (DE-604)BV000000130 213 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014189233&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mackenzie, Kirill C.H General theory of Lie groupoids and Lie algebroids London Mathematical Society lecture note series Lie-Gruppoid - Lie-Algebroid Lie algebroids Lie groupoids Lie-Gruppoid (DE-588)4224180-7 gnd Globale Analysis (DE-588)4021285-3 gnd Lie-Algebroid (DE-588)4630863-5 gnd |
| subject_GND | (DE-588)4224180-7 (DE-588)4021285-3 (DE-588)4630863-5 |
| title | General theory of Lie groupoids and Lie algebroids |
| title_auth | General theory of Lie groupoids and Lie algebroids |
| title_exact_search | General theory of Lie groupoids and Lie algebroids |
| title_exact_search_txtP | General theory of Lie groupoids and Lie algebroids |
| title_full | General theory of Lie groupoids and Lie algebroids Kirill C. H. Mackenzie |
| title_fullStr | General theory of Lie groupoids and Lie algebroids Kirill C. H. Mackenzie |
| title_full_unstemmed | General theory of Lie groupoids and Lie algebroids Kirill C. H. Mackenzie |
| title_short | General theory of Lie groupoids and Lie algebroids |
| title_sort | general theory of lie groupoids and lie algebroids |
| topic | Lie-Gruppoid - Lie-Algebroid Lie algebroids Lie groupoids Lie-Gruppoid (DE-588)4224180-7 gnd Globale Analysis (DE-588)4021285-3 gnd Lie-Algebroid (DE-588)4630863-5 gnd |
| topic_facet | Lie-Gruppoid - Lie-Algebroid Lie algebroids Lie groupoids Lie-Gruppoid Globale Analysis Lie-Algebroid |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014189233&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT mackenziekirillch generaltheoryofliegroupoidsandliealgebroids |