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De Gruyter
[2021]
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| Schriftenreihe: | De Gruyter studies in mathematics
volume 82 |
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| 100 | 1 | |a Wagemann, Friedrich |e Verfasser |0 (DE-588)1247666387 |4 aut | |
| 245 | 1 | 0 | |a Crossed modules |c Friedrich Wagemann |
| 264 | 1 | |a Berlin |b De Gruyter |c [2021] | |
| 300 | |a XIV, 393 Seiten |b Illustrationen |c 25 cm, 818 g | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a De Gruyter studies in mathematics |v volume 82 | |
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| 830 | 0 | |a De Gruyter studies in mathematics |v volume 82 |w (DE-604)BV000005407 |9 82 | |
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Datensatz im Suchindex
| _version_ | 1804183641618644992 |
|---|---|
| adam_text | CONTENTS
PREFACE
-
V
ACKNOWLEDGMENT
-
IX
1
1.1
1.2
1.3
1.4
1.4.1
1.4.2
1.4.3
1.5
1.5.1
1.5.2
1.5.3
1.6
1.7
1.7.1
1.7.2
1.7.3
1.8
1.9
1.10
1.10.1
1.10.2
1.10.3
1.11
1.12
CROSSED
MODULES
OF
GROUPS
-
1
DEFINITIONS
----
1
RELATION
TO
THIRD
COHOMOLOGY
1
-
5
RELATION
TO
THIRD
COHOMOLOGY
II
-
12
RELATION
TO
GENERAL
GROUP
EXTENSIONS
-
16
OUTER
ACTIONS
AND
FACTOR
SYSTEMS
-
16
SIGNIFICANCE
OF
THE
ZERO
CLASS
IN
H
3
(G,Z)
----
22
THE
OBSTRUCTION
CROSSED
MODULE
-
24
CONSTRUCTION
OF
CROSSED
MODULES
-
30
THE
PRINCIPAL
CONSTRUCTION
----
30
END
OF
THE
PROOF
OF
THEOREM
1.2.1
----
32
CONSTRUCTIONS
INVOLVING
FREE
GROUPS
-
34
RELATION
TO
THE
LYNDON-HOCHSCHILD-SERRE
SPECTRAL
SEQUENCE
-
39
EXAMPLES
-----46
THE
STRING
GROUP
(AFTER
STOLZ-TEICHNER)
----
47
THE
STRING
GROUP
(AFTER
BAEZ-CRANS-SCHREIBER-STEVENSON)
----
50
A
CROSSED
MODULE
OF
DIFFEOMORPHISMS
----
52
RELATION
TO
RELATIVE
COHOMOLOGY
-
54
STRICT
2-GROUPS
----
62
MOTIVATION:
CLASSIFICATION
OF
HOMOTOPY
2-TYPES
----
68
THE
CROSSED
MODULE
N
2
-
68
FREE
CROSSED
MODULES
-
71
CLASSIFYING
2-HOMOTOPY
TYPES
----
78
EXERCISES
-
81
BIBLIOGRAPHICAL
NOTES
-
83
2
2.1
2.2
2.2.1
2.3
2.4
2.4.1
2.4.2
2.5
2.5.1
CROSSED
MODULES
OF
LIE
ALGEBRAS
-
85
DEFINITIONS
-
85
RELATION
TO
THIRD
COHOMOLOGY
1
----
89
GERSTENHABER
S
THEOREM
----
89
RELATION
TO
THIRD
COHOMOLOGY
II
-
95
RELATION
TO
GENERAL
EXTENSIONS
-
100
OUTER
ACTIONS
AND
FACTOR
SYSTEMS
-
101
THE
OBSTRUCTION
CROSSED
MODULE
----
106
CONSTRUCTION
OF
CROSSED
MODULES
-
112
THE
PRINCIPAL
CONSTRUCTION
----
112
XII
-
CONTENTS
2.5.2
2.6
2.6.1
2.6.2
2.7
2.8
2.8.1
2.8.2
2.8.3
2.9
2.10
2.10.1
2.10.2
2.10.3
2.10.4
2.10.5
2.11
2.12
END
OF
THE
PROOF
OF
THEOREM
2.2.1
----
114
RELATION
TO
LIE
ALGEBRA
KERNELS
----
117
LIE
ALGEBRA
KERNELS
AND
THIRD
COHOMOLOGY
----
117
FINITE
DIMENSIONAL
KERNELS
----
122
RELATION
TO
THE
HOCHSCHILD-SERRE
SPECTRAL
SEQUENCE
----
128
EXAMPLES
----
131
THE
STRING
LIE
ALGEBRA
----
131
THE
STRING
LIE
ALGEBRA
REVISITED
----
133
A
CROSSED
MODULE
REPRESENTING
THE
GODBILLON-VEY
COCYCLE
----
145
RELATION
TO
RELATIVE
COHOMOLOGY
----
151
STRICT
LIE
2-ALGEBRAS
----
157
CROSSED
MODULES
AND
CAF-LIE
ALGEBRAS
----
158
STRICT
2-VECTOR
SPACES
AND
2-TERM
COMPLEXES
----
159
STRICT
LIE
2-ALGEBRAS
AND
CROSSED
MODULES
----
159
SEMISTRICT
LIE
2-ALGEBRAS
AND
2-TERM
/.^-ALGEBRAS
----
162
CLASSIFICATION
OF
SEMISTRICT
LIE
2-ALGEBRAS
-
163
EXERCISES----
166
BIBLIOGRAPHICAL
NOTES
----
167
3
3.1
3.1.1
3.2
3.2.1
3.2.2
3.3
3.4
3.5
3.6
3.6.1
3.6.2
3.6.3
3.6.4
3.6.5
3.7
3.7.1
3.7.2
3.8
CROSSED
MODULES
OF
ASSOCIATIVE
ALGEBRAS
-
169
DEFINITIONS
----
169
CROSSED
MODULES
WITH
FREE
ALGEBRAS
-
172
RELATION
TO
THIRD
COHOMOLOGY
1
----
173
CONSTRUCTING
THE
MAP
B
---
173
BIJECTIVITY
OF
THE
MAP
B
----
178
RELATION
TO
THIRD
COHOMOLOGY
II
---
185
RELATION
TO
GENERAL
EXTENSIONS
----
188
CONSTRUCTION
OF
CROSSED
MODULES
----
192
ASSOCIATIVE
ALGEBRA
KERNELS
----
194
DEFINITION
OF
AN
ASSOCIATIVE
ALGEBRA
KERNEL
----
194
COHOMOLOGY
CLASS
ASSOCIATED
TO
A
KERNEL
-
195
RELATION
TO
GENERAL
EXTENSIONS
----
198
THE
DIFFERENT
EXTENSIONS
CORRESPONDING
TO
A
SPECIAL
KERNEL
----
199
GERSTENHABER
S
THEOREM
FOR
KERNELS
----
202
STRICT
ASSOCIATIVE
2-ALGEBRAS
----
206
CAP-ASSOCIATIVE
ALGEBRAS
----
206
CROSSED
MODULES
AND
CATEGORY
OBJECTS
IN
ALG
-
208
RELATION
BETWEEN
CROSSED
MODULES
OF
ASSOCIATIVE
AND
LIE
ALGEBRAS
RESPECTIVE
GROUPS
----
209
3.8.1
3.8.2
3.8.3
DEFINITION
OF
THE
FUNCTORS
----
209
CROSSED
MODULES
OF
GROUPS
AND
OF
ASSOCIATIVE
ALGEBRAS
----
210
CROSSED
MODULES
OF
LIE
ALGEBRAS
AND
OF
ASSOCIATIVE
ALGEBRAS
----
216
CONTENTS
-
XLFL
3.9
3.9.1
3.9.2
EXAMPLES
----
220
THE
CROSSED
MODULE
ASSOCIATED
TO
A
COCHAIN
ALGEBRA
-
220
THE
CROSSED
MODULE
ASSOCIATED
TO
A
CHAIN
COMPLEX
OF
VECTOR
SPACES
----
221
3.10
3.11
EXERCISES----
224
BIBLIOGRAPHICAL
NOTES
-
225
4
4.1
4.2
4.3
4.4
4.5
4.5.1
4.5.2
4.5.3
4.6
4.6.1
4.6.2
4.6.3
4.7
4.8
4.9
CROSSED
MODULES
OF
HOPF
ALGEBRAS
-
-
227
PRELIMINARIES
-
227
CROSSED
MODULES
OF
LIE
AND
HOPF
ALGEBRAS
-
232
CROSSED
MODULES
OF
GROUPS
AND
HOPF
ALGEBRAS
-
237
CROSSED
COMODULES
OF
GROUPS
AND
HOPF
ALGEBRAS
-
239
INTEGRATION
OF
CROSSED
MODULES
OF
LIE
ALGEBRAS
-
243
INTEGRATION
INTO
FORMAL
GROUPS
-
243
INTEGRATION
INTO
AN
ALGEBRAIC
GROUP
-
244
INTEGRATION
OF
CROSSED
MODULES
-
245
CROSSED
MODULES
OF
HOPF
ALGEBRAS
AND
CAF-HOPF
ALGEBRAS
----
248
SEMIDIRECT
PRODUCT
OF
HOPF
ALGEBRAS
-
248
CAT^HOPF
ALGEBRAS
----
253
EQUIVALENCE
BETWEEN
CROSSED
MODULE
AND
CAT
1
HOPF
ALGEBRAS
-
255
STRICT
QUANTUM
2-GROUPS
-
259
EXERCISES
----
271
BIBLIOGRAPHICAL
NOTES
-
272
5
5.1
5.1.1
5.1.2
5.1.3
5.1.4
5.1.5
5.1.6
5.2
5.3
5.4
5.5
CROSSED
MODULES
WITH
GEOMETRIC
STRUCTURE
----
273
CROSSED
MODULES
OF
LIE
GROUPS
-
273
SMOOTH
OUTER
ACTIONS
----
273
EXTENSIONS
OF
LIE
GROUPS
-
279
CROSSED
MODULES
OF
LIE
GROUPS
-
288
SIGNIFICANCE
OF
THE
ZERO
CLASS
IN
H
3
(G,Z)
-
293
THE
SMOOTH
OBSTRUCTION
CROSSED
MODULE
-
295
INTEGRATION
OF
CROSSED
MODULES
OF
LIE
ALGEBRAS
----
300
CROSSED
MODULES
IN
MALCEV
THEORY
-
304
CROSSED
MODULES
OF
LIE-RINEHART
ALGEBRAS
----
312
EXERCISES
----
316
BIBLIOGRAPHICAL
NOTES
-
318
6
6.1
6.1.1
6.1.2
6.2
CROSSED
MODULES
OF
RACKS
----
319
RACKS
AND
RELATED
NOTIONS
-
319
RACKS
AND
LEIBNIZ
ALGEBRAS
-
319
RACKS,
LEIBNIZ
ALGEBRAS
AND
RACK
BIALGEBRAS
-
327
CROSSED
MODULES
OF
RACKS
----
335
XIV
-
CONTENTS
BIBLIOGRAPHY
----
387
6.3
6.4
6.4.1
6.4.2
6.4.3
6.5
6.5.1
6.5.2
6.5.3
6.5.4
6.6
6.6.1
6.6.2
6.7
6.8
CROSSED
MODULES
OF
RACK
BIALGEBRAS
----
341
LINKS
BETWEEN
THE
DIFFERENT
TYPES
OF
CROSSED
MODULES
----
344
CROSSED
MODULES
OF
LIE
RACKS
AND
LEIBNIZ
ALGEBRAS
----
345
CROSSED
MODULES
OF
RACK
BIALGEBRAS
AND
LEIBNIZ
ALGEBRAS
----
347
CROSSED
MODULES
OF
RACKS
AND
RACK
BIALGEBRAS
----
350
CATEGORICAL
RACKS
----
351
FROM
CATEGORIES
TO
CROSSED
MODULES
----
351
FROM
CROSSED
MODULES
TO
CATEGORIES
----
354
CROSSED
MODULES
OF
RACKS
AND
TRUNKS
----
356
FROM
CROSSED
MODULES
OF
RACKS
TO
TRUNKS
----
358
TOPOLOGICAL
APPLICATIONS
OF
CROSSED
MODULES
OF
RACKS
----
359
THE
RACK
SPACE
OF
A
CROSSED
MODULE
OF
RACKS
----
359
CROSSED
MODULES
OF
RACKS
FROM
LINK
COVERINGS
----
361
EXERCISES
----
365
BIBLIOGRAPHICAL
NOTES
----
366
A
A.L
A.2
A.3
A.4
COHOMOLOGY
OF
GROUPS
----
367
DEFINITIONS
----
367
ABELIAN
EXTENSIONS
----
368
THE
LYNDON-HOCHSCHILD-SERRE
SPECTRAL
SEQUENCE
----
371
CONTINUOUS
COHOMOLOGY
----
371
B
B.L
B.2
B.3
B.4
COHOMOLOGY
OF
LIE
ALGEBRAS
----
373
DEFINITIONS
----
373
ABELIAN
EXTENSIONS
----
374
THE
HOCHSCHILD-SERRE
SPECTRAL
SEQUENCE
----
375
CONTINUOUS
COHOMOLOGY
----
378
C
C.L
C.2
C.3
COHOMOLOGY
OF
ASSOCIATIVE
ALGEBRAS
-
379
DEFINITIONS
----
379
HOCHSCHILD
COHOMOLOGY
----
379
SQUARE
ZERO
EXTENSIONS
----
380
D
D.L
D.2
D.3
LIE
GROUPS
AND
THEIR
COHOMOLOGY
----
383
LIE
GROUPS
----
383
DEFINING
A
LIE
GROUP
STRUCTURE
----
384
LIE
GROUP
COHOMOLOGY
----
384
INDEX
----
391
|
| adam_txt |
CONTENTS
PREFACE
-
V
ACKNOWLEDGMENT
-
IX
1
1.1
1.2
1.3
1.4
1.4.1
1.4.2
1.4.3
1.5
1.5.1
1.5.2
1.5.3
1.6
1.7
1.7.1
1.7.2
1.7.3
1.8
1.9
1.10
1.10.1
1.10.2
1.10.3
1.11
1.12
CROSSED
MODULES
OF
GROUPS
-
1
DEFINITIONS
----
1
RELATION
TO
THIRD
COHOMOLOGY
1
-
5
RELATION
TO
THIRD
COHOMOLOGY
II
-
12
RELATION
TO
GENERAL
GROUP
EXTENSIONS
-
16
OUTER
ACTIONS
AND
FACTOR
SYSTEMS
-
16
SIGNIFICANCE
OF
THE
ZERO
CLASS
IN
H
3
(G,Z)
----
22
THE
OBSTRUCTION
CROSSED
MODULE
-
24
CONSTRUCTION
OF
CROSSED
MODULES
-
30
THE
PRINCIPAL
CONSTRUCTION
----
30
END
OF
THE
PROOF
OF
THEOREM
1.2.1
----
32
CONSTRUCTIONS
INVOLVING
FREE
GROUPS
-
34
RELATION
TO
THE
LYNDON-HOCHSCHILD-SERRE
SPECTRAL
SEQUENCE
-
39
EXAMPLES
-----46
THE
STRING
GROUP
(AFTER
STOLZ-TEICHNER)
----
47
THE
STRING
GROUP
(AFTER
BAEZ-CRANS-SCHREIBER-STEVENSON)
----
50
A
CROSSED
MODULE
OF
DIFFEOMORPHISMS
----
52
RELATION
TO
RELATIVE
COHOMOLOGY
-
54
STRICT
2-GROUPS
----
62
MOTIVATION:
CLASSIFICATION
OF
HOMOTOPY
2-TYPES
----
68
THE
CROSSED
MODULE
N
2
-
68
FREE
CROSSED
MODULES
-
71
CLASSIFYING
2-HOMOTOPY
TYPES
----
78
EXERCISES
-
81
BIBLIOGRAPHICAL
NOTES
-
83
2
2.1
2.2
2.2.1
2.3
2.4
2.4.1
2.4.2
2.5
2.5.1
CROSSED
MODULES
OF
LIE
ALGEBRAS
-
85
DEFINITIONS
-
85
RELATION
TO
THIRD
COHOMOLOGY
1
----
89
GERSTENHABER
'
S
THEOREM
----
89
RELATION
TO
THIRD
COHOMOLOGY
II
-
95
RELATION
TO
GENERAL
EXTENSIONS
-
100
OUTER
ACTIONS
AND
FACTOR
SYSTEMS
-
101
THE
OBSTRUCTION
CROSSED
MODULE
----
106
CONSTRUCTION
OF
CROSSED
MODULES
-
112
THE
PRINCIPAL
CONSTRUCTION
----
112
XII
-
CONTENTS
2.5.2
2.6
2.6.1
2.6.2
2.7
2.8
2.8.1
2.8.2
2.8.3
2.9
2.10
2.10.1
2.10.2
2.10.3
2.10.4
2.10.5
2.11
2.12
END
OF
THE
PROOF
OF
THEOREM
2.2.1
----
114
RELATION
TO
LIE
ALGEBRA
KERNELS
----
117
LIE
ALGEBRA
KERNELS
AND
THIRD
COHOMOLOGY
----
117
FINITE
DIMENSIONAL
KERNELS
----
122
RELATION
TO
THE
HOCHSCHILD-SERRE
SPECTRAL
SEQUENCE
----
128
EXAMPLES
----
131
THE
STRING
LIE
ALGEBRA
----
131
THE
STRING
LIE
ALGEBRA
REVISITED
----
133
A
CROSSED
MODULE
REPRESENTING
THE
GODBILLON-VEY
COCYCLE
----
145
RELATION
TO
RELATIVE
COHOMOLOGY
----
151
STRICT
LIE
2-ALGEBRAS
----
157
CROSSED
MODULES
AND
CAF-LIE
ALGEBRAS
----
158
STRICT
2-VECTOR
SPACES
AND
2-TERM
COMPLEXES
----
159
STRICT
LIE
2-ALGEBRAS
AND
CROSSED
MODULES
----
159
SEMISTRICT
LIE
2-ALGEBRAS
AND
2-TERM
/.^-ALGEBRAS
----
162
CLASSIFICATION
OF
SEMISTRICT
LIE
2-ALGEBRAS
-
163
EXERCISES----
166
BIBLIOGRAPHICAL
NOTES
----
167
3
3.1
3.1.1
3.2
3.2.1
3.2.2
3.3
3.4
3.5
3.6
3.6.1
3.6.2
3.6.3
3.6.4
3.6.5
3.7
3.7.1
3.7.2
3.8
CROSSED
MODULES
OF
ASSOCIATIVE
ALGEBRAS
-
169
DEFINITIONS
----
169
CROSSED
MODULES
WITH
FREE
ALGEBRAS
-
172
RELATION
TO
THIRD
COHOMOLOGY
1
----
173
CONSTRUCTING
THE
MAP
B
---
173
BIJECTIVITY
OF
THE
MAP
B
----
178
RELATION
TO
THIRD
COHOMOLOGY
II
---
185
RELATION
TO
GENERAL
EXTENSIONS
----
188
CONSTRUCTION
OF
CROSSED
MODULES
----
192
ASSOCIATIVE
ALGEBRA
KERNELS
----
194
DEFINITION
OF
AN
ASSOCIATIVE
ALGEBRA
KERNEL
----
194
COHOMOLOGY
CLASS
ASSOCIATED
TO
A
KERNEL
-
195
RELATION
TO
GENERAL
EXTENSIONS
----
198
THE
DIFFERENT
EXTENSIONS
CORRESPONDING
TO
A
SPECIAL
KERNEL
----
199
GERSTENHABER
'
S
THEOREM
FOR
KERNELS
----
202
STRICT
ASSOCIATIVE
2-ALGEBRAS
----
206
CAP-ASSOCIATIVE
ALGEBRAS
----
206
CROSSED
MODULES
AND
CATEGORY
OBJECTS
IN
ALG
-
208
RELATION
BETWEEN
CROSSED
MODULES
OF
ASSOCIATIVE
AND
LIE
ALGEBRAS
RESPECTIVE
GROUPS
----
209
3.8.1
3.8.2
3.8.3
DEFINITION
OF
THE
FUNCTORS
----
209
CROSSED
MODULES
OF
GROUPS
AND
OF
ASSOCIATIVE
ALGEBRAS
----
210
CROSSED
MODULES
OF
LIE
ALGEBRAS
AND
OF
ASSOCIATIVE
ALGEBRAS
----
216
CONTENTS
-
XLFL
3.9
3.9.1
3.9.2
EXAMPLES
----
220
THE
CROSSED
MODULE
ASSOCIATED
TO
A
COCHAIN
ALGEBRA
-
220
THE
CROSSED
MODULE
ASSOCIATED
TO
A
CHAIN
COMPLEX
OF
VECTOR
SPACES
----
221
3.10
3.11
EXERCISES----
224
BIBLIOGRAPHICAL
NOTES
-
225
4
4.1
4.2
4.3
4.4
4.5
4.5.1
4.5.2
4.5.3
4.6
4.6.1
4.6.2
4.6.3
4.7
4.8
4.9
CROSSED
MODULES
OF
HOPF
ALGEBRAS
-
-
227
PRELIMINARIES
-
227
CROSSED
MODULES
OF
LIE
AND
HOPF
ALGEBRAS
-
232
CROSSED
MODULES
OF
GROUPS
AND
HOPF
ALGEBRAS
-
237
CROSSED
COMODULES
OF
GROUPS
AND
HOPF
ALGEBRAS
-
239
INTEGRATION
OF
CROSSED
MODULES
OF
LIE
ALGEBRAS
-
243
INTEGRATION
INTO
FORMAL
GROUPS
-
243
INTEGRATION
INTO
AN
ALGEBRAIC
GROUP
-
244
INTEGRATION
OF
CROSSED
MODULES
-
245
CROSSED
MODULES
OF
HOPF
ALGEBRAS
AND
CAF-HOPF
ALGEBRAS
----
248
SEMIDIRECT
PRODUCT
OF
HOPF
ALGEBRAS
-
248
CAT^HOPF
ALGEBRAS
----
253
EQUIVALENCE
BETWEEN
CROSSED
MODULE
AND
CAT
1
HOPF
ALGEBRAS
-
255
STRICT
QUANTUM
2-GROUPS
-
259
EXERCISES
----
271
BIBLIOGRAPHICAL
NOTES
-
272
5
5.1
5.1.1
5.1.2
5.1.3
5.1.4
5.1.5
5.1.6
5.2
5.3
5.4
5.5
CROSSED
MODULES
WITH
GEOMETRIC
STRUCTURE
----
273
CROSSED
MODULES
OF
LIE
GROUPS
-
273
SMOOTH
OUTER
ACTIONS
----
273
EXTENSIONS
OF
LIE
GROUPS
-
279
CROSSED
MODULES
OF
LIE
GROUPS
-
288
SIGNIFICANCE
OF
THE
ZERO
CLASS
IN
H
3
(G,Z)
-
293
THE
SMOOTH
OBSTRUCTION
CROSSED
MODULE
-
295
INTEGRATION
OF
CROSSED
MODULES
OF
LIE
ALGEBRAS
----
300
CROSSED
MODULES
IN
MALCEV
THEORY
-
304
CROSSED
MODULES
OF
LIE-RINEHART
ALGEBRAS
----
312
EXERCISES
----
316
BIBLIOGRAPHICAL
NOTES
-
318
6
6.1
6.1.1
6.1.2
6.2
CROSSED
MODULES
OF
RACKS
----
319
RACKS
AND
RELATED
NOTIONS
-
319
RACKS
AND
LEIBNIZ
ALGEBRAS
-
319
RACKS,
LEIBNIZ
ALGEBRAS
AND
RACK
BIALGEBRAS
-
327
CROSSED
MODULES
OF
RACKS
----
335
XIV
-
CONTENTS
BIBLIOGRAPHY
----
387
6.3
6.4
6.4.1
6.4.2
6.4.3
6.5
6.5.1
6.5.2
6.5.3
6.5.4
6.6
6.6.1
6.6.2
6.7
6.8
CROSSED
MODULES
OF
RACK
BIALGEBRAS
----
341
LINKS
BETWEEN
THE
DIFFERENT
TYPES
OF
CROSSED
MODULES
----
344
CROSSED
MODULES
OF
LIE
RACKS
AND
LEIBNIZ
ALGEBRAS
----
345
CROSSED
MODULES
OF
RACK
BIALGEBRAS
AND
LEIBNIZ
ALGEBRAS
----
347
CROSSED
MODULES
OF
RACKS
AND
RACK
BIALGEBRAS
----
350
CATEGORICAL
RACKS
----
351
FROM
CATEGORIES
TO
CROSSED
MODULES
----
351
FROM
CROSSED
MODULES
TO
CATEGORIES
----
354
CROSSED
MODULES
OF
RACKS
AND
TRUNKS
----
356
FROM
CROSSED
MODULES
OF
RACKS
TO
TRUNKS
----
358
TOPOLOGICAL
APPLICATIONS
OF
CROSSED
MODULES
OF
RACKS
----
359
THE
RACK
SPACE
OF
A
CROSSED
MODULE
OF
RACKS
----
359
CROSSED
MODULES
OF
RACKS
FROM
LINK
COVERINGS
----
361
EXERCISES
----
365
BIBLIOGRAPHICAL
NOTES
----
366
A
A.L
A.2
A.3
A.4
COHOMOLOGY
OF
GROUPS
----
367
DEFINITIONS
----
367
ABELIAN
EXTENSIONS
----
368
THE
LYNDON-HOCHSCHILD-SERRE
SPECTRAL
SEQUENCE
----
371
CONTINUOUS
COHOMOLOGY
----
371
B
B.L
B.2
B.3
B.4
COHOMOLOGY
OF
LIE
ALGEBRAS
----
373
DEFINITIONS
----
373
ABELIAN
EXTENSIONS
----
374
THE
HOCHSCHILD-SERRE
SPECTRAL
SEQUENCE
----
375
CONTINUOUS
COHOMOLOGY
----
378
C
C.L
C.2
C.3
COHOMOLOGY
OF
ASSOCIATIVE
ALGEBRAS
-
379
DEFINITIONS
----
379
HOCHSCHILD
COHOMOLOGY
----
379
SQUARE
ZERO
EXTENSIONS
----
380
D
D.L
D.2
D.3
LIE
GROUPS
AND
THEIR
COHOMOLOGY
----
383
LIE
GROUPS
----
383
DEFINING
A
LIE
GROUP
STRUCTURE
----
384
LIE
GROUP
COHOMOLOGY
----
384
INDEX
----
391 |
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| author | Wagemann, Friedrich |
| author_GND | (DE-588)1247666387 |
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| bvnumber | BV047955788 |
| ctrlnum | (OCoLC)1281672050 (DE-599)DNB1234799030 |
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| id | DE-604.BV047955788 |
| illustrated | Illustrated |
| index_date | 2024-07-03T19:38:55Z |
| indexdate | 2024-07-10T09:26:41Z |
| institution | BVB |
| institution_GND | (DE-588)10095502-2 |
| isbn | 9783110750768 3110750767 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033337071 |
| oclc_num | 1281672050 |
| open_access_boolean | |
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| owner_facet | DE-29T |
| physical | XIV, 393 Seiten Illustrationen 25 cm, 818 g |
| publishDate | 2021 |
| publishDateSearch | 2021 |
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| publisher | De Gruyter |
| record_format | marc |
| series | De Gruyter studies in mathematics |
| series2 | De Gruyter studies in mathematics |
| spelling | Wagemann, Friedrich Verfasser (DE-588)1247666387 aut Crossed modules Friedrich Wagemann Berlin De Gruyter [2021] XIV, 393 Seiten Illustrationen 25 cm, 818 g txt rdacontent n rdamedia nc rdacarrier De Gruyter studies in mathematics volume 82 Mathematik Lügenalgebra Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe, EPUB Wagemann, Friedrich Crossed Modules 1. Auflage Berlin/Boston : De Gruyter, 2021 Online-Ressource, 410 Seiten 978-3-11-075099-7 Erscheint auch als Online-Ausgabe, PDF 978-3-11-075095-9 De Gruyter studies in mathematics volume 82 (DE-604)BV000005407 82 X:MVB https://www.degruyter.com/isbn/9783110750768 B:DE-101 application/pdf https://d-nb.info/1234799030/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033337071&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p dnb 20220211 DE-101 https://d-nb.info/provenance/plan#dnb |
| spellingShingle | Wagemann, Friedrich Crossed modules De Gruyter studies in mathematics |
| title | Crossed modules |
| title_auth | Crossed modules |
| title_exact_search | Crossed modules |
| title_exact_search_txtP | Crossed modules |
| title_full | Crossed modules Friedrich Wagemann |
| title_fullStr | Crossed modules Friedrich Wagemann |
| title_full_unstemmed | Crossed modules Friedrich Wagemann |
| title_short | Crossed modules |
| title_sort | crossed modules |
| url | https://www.degruyter.com/isbn/9783110750768 https://d-nb.info/1234799030/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033337071&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000005407 |
| work_keys_str_mv | AT wagemannfriedrich crossedmodules AT walterdegruytergmbhcokg crossedmodules |
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