The structure of compact groups: a primer for the student - a handbook for the expert
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2023]
|
| Edition: | 5th edition |
| Series: | De Gruyter studies in mathematics
Volume 25 |
| Subjects: | |
| Online Access: | https://www.degruyter.com/isbn/9783111171630 Inhaltsverzeichnis |
| Physical Description: | xli, 1032 Seiten 24 cm x 17 cm |
| ISBN: | 9783111171630 3111171639 |
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MARC
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|---|---|---|---|
| 001 | BV049419234 | ||
| 003 | DE-604 | ||
| 005 | 20240604 | ||
| 007 | t| | ||
| 008 | 231117s2023 gw |||| 00||| eng d | ||
| 015 | |a 23,N33 |2 dnb | ||
| 016 | 7 | |a 1299123090 |2 DE-101 | |
| 020 | |a 9783111171630 |c : EUR 199.95 (DE) (freier Preis), EUR 199.95 (AT) (freier Preis) |9 978-3-11-117163-0 | ||
| 020 | |a 3111171639 |9 3-11-117163-9 | ||
| 024 | 3 | |a 9783111171630 | |
| 035 | |a (OCoLC)1409139499 | ||
| 035 | |a (DE-599)DNB1299123090 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c XA-DE-BE | ||
| 049 | |a DE-29T |a DE-20 |a DE-11 | ||
| 084 | |a SK 340 |0 (DE-625)143232: |2 rvk | ||
| 084 | |8 1\p |a 510 |2 23sdnb | ||
| 100 | 1 | |a Hofmann, Karl H. |d 1932- |e Verfasser |0 (DE-588)115780734 |4 aut | |
| 245 | 1 | 0 | |a The structure of compact groups |b a primer for the student - a handbook for the expert |c Karl H. Hofmann, Sidney A. Morris |
| 250 | |a 5th edition | ||
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2023] | |
| 300 | |a xli, 1032 Seiten |c 24 cm x 17 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter studies in mathematics |v Volume 25 | |
| 650 | 0 | 7 | |a Kompakte Gruppe |0 (DE-588)4164840-7 |2 gnd |9 rswk-swf |
| 653 | |a Abelsche Gruppen | ||
| 653 | |a Kategorientheorie | ||
| 653 | |a Kompakte Gruppen | ||
| 653 | |a Luge Algebra | ||
| 653 | |a Topologische Gruppen | ||
| 653 | |a Abelian groups | ||
| 653 | |a category theory | ||
| 653 | |a compact groups | ||
| 653 | |a Lie algebra | ||
| 653 | |a topological groups. | ||
| 689 | 0 | 0 | |a Kompakte Gruppe |0 (DE-588)4164840-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Morris, Sidney A. |d 1947- |e Verfasser |0 (DE-588)132019515 |4 aut | |
| 710 | 2 | |a Walter de Gruyter GmbH & Co. KG |0 (DE-588)10095502-2 |4 pbl | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, PDF |z 978-3-11-117260-6 |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, EPUB |z 978-3-11-117405-1 |
| 830 | 0 | |a De Gruyter studies in mathematics |v Volume 25 |w (DE-604)BV000005407 |9 25 | |
| 856 | 4 | 2 | |m X:MVB |u https://www.degruyter.com/isbn/9783111171630 |
| 856 | 4 | |m DNB Datenaustausch |u https://bvbr.bib-bvb.de:443/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034746170&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |z Inhaltsverzeichnis | |
| 883 | 1 | |8 1\p |a vlb |d 20230812 |q DE-101 |u https://d-nb.info/provenance/plan#vlb | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-034746170 | |
Record in the Search Index
| _version_ | 1835441807891103744 |
|---|---|
| adam_text | |
| adam_txt |
HIGHLIGHTS
OF
THE
STRUCTURE
THEORY
OF
COMPACT
GROUPS
.
IX
CHAPTER
1.
BASIC
TOPICS
AND
EXAMPLES
.
1
DEFINITIONS
AND
ELEMENTARY
EXAMPLES
.
2
ACTIONS,
SUBGROUPS,
QUOTIENT
SPACES
.
5
PRODUCTS
OF
COMPACT
GROUPS
.
10
APPLICATIONS
TO
ABELIAN
GROUPS
.
11
PROJECTIVE
LIMITS
.
17
TOTALLY
DISCONNECTED
COMPACT
GROUPS
.
22
SOME
DUALITY
THEORY
.
24
POSTSCRIPT
.
29
REFERENCES
FOR
THIS
CHAPTER
-
ADDITIONAL
READING
.
30
CHAPTER
2.
THE
BASIC
REPRESENTATION
THEORY
OF
COMPACT
GROUPS
31
SOME
BASIC
REPRESENTATION
THEORY
FOR
COMPACT
GROUPS
.
31
THE
HAAR
INTEGRAL
.
34
CONSEQUENCES
OF
HAAR
MEASURE
.
35
THE
MAIN
THEOREM
ON
HILBERT
MODULES
FOR
COMPACT
GROUPS
.
37
POSTSCRIPT
.
50
REFERENCES
FOR
THIS
CHAPTER
-
ADDITIONAL
READING
.
50
CHAPTER
3.
THE
IDEAS
OF
PETER
&
WEYL,
TANNAKA,
HOPF,
&
HOCHSCHILD
51
PART
1:
THE
CLASSICAL
THEOREM
OF
PETER
AND
WEYL
.
52
AN
EXCURSION
INTO
LINEAR
ALGEBRA
.
57
THE
G-MODULES
E'
8
HOM(E,
E)
AND
HOM(E,
E)'
.
59
THE
FINE
STRUCTURE
OF
R(G^
K)
.
61
PART
2:
THE
GENERAL
THEORY
OF
G-MODULES
.
68
VECTOR
VALUED
INTEGRATION
.
69
THE
FIRST
APPLICATION:
THE
AVERAGING
OPERATOR
.
75
COMPACT
GROUPS
ACTING
ON
CONVEX
CONES
.
79
MORE
MODULE
ACTIONS,
CONVOLUTIONS
.
80
COMPLEXIFICATION
OF
REAL
REPRESENTATIONS
.
85
PART
3:
THE
WEAKLY
COMPLETE
GROUP
ALGEBRA
.
90
THE
HOPF
ASPECT
OF
WEAKLY
COMPLETE
ALGEBRAS
.
94
THE
DUAL
OF
A
WEAKLY
COMPLETE
GROUP
HOPF
ALGEBRA
.
101
A
PRINCIPAL
STRUCTURE
THEOREM
OF
K[G]
FOR
COMPACT
G
.
104
THE
SPECTRUM
OF
THE
K
ALGEBRA
R(G,K)
.
110
THE
TANNAKA-HOCHSCHILD
DUALITY
.
113
COMPACT
ABELIAN
GROUPS
.
114
THE
PROBABILITY
SEMIGROUP
OF
A
COMPACT
G
INSIDE
R[G]
.
118
POSTSCRIPT
.
123
REFERENCES
FOR
THIS
CHAPTER
-
ADDITIONAL
READING
.
125
CHAPTER
4.
CHARACTERS
.
126
PART
1:
CHARACTERS
OF
FINITE
DIMENSIONAL
REPRESENTATIONS
.
126
PART
2:
THE
STRUCTURE
THEOREM
OF
EFIN
.
133
THE
STRUCTURE
OF
HILBERT
G-MODULES
.
142
THE
STRUCTURE
OF
WEAKLY
COMPLETE
G-MODULES
.
143
CYCLIC
MODULES
.
144
POSTSCRIPT
.
146
REFERENCES
FOR
THIS
CHAPTER
-
ADDITIONAL
READING
.
146
CHAPTER
5.
LINEAR
LIE
GROUPS
.
147
PRELIMINARIES
.
147
THE
EXPONENTIAL
FUNCTION
AND
THE
LOGARITHM
.
149
DIFFERENTIATING
THE
EXPONENTIAL
FUNCTION
IN
A
BANACH
ALGEBRA
.
161
LOCAL
GROUPS
FOR
THE
CAMPBELL-HAUSDORFF
MULTIPLICATION
.
167
SUBGROUPS
OF
A-1
AND
LINEAR
LIE
GROUPS
.
170
ANALYTIC
GROUPS
.
174
THE
INTRINSIC
EXPONENTIAL
FUNCTION
OF
A
LINEAR
LIE
GROUP
.
175
THE
ADJOINT
REPRESENTATION
OF
A
LINEAR
LIE
GROUP
.
182
SUBALGEBRAS,
IDEALS,
LIE
SUBGROUPS,
NORMAL
LIE
SUBGROUPS
.
187
NORMALIZERS,
CENTRALIZERS,
CENTERS
.
193
THE
COMMUTATOR
SUBGROUP
.
198
FORCED
CONTINUITY
OF
MORPHISMS
BETWEEN
LIE
GROUPS
.
202
QUOTIENTS
OF
LINEAR
LIE
GROUPS
.
205
THE
TOPOLOGICAL
SPLITTING
THEOREM
FOR
NORMAL
VECTOR
SUBGROUPS
.
209
POSTSCRIPT
.
220
REFERENCES
FOR
THIS
CHAPTER
-
ADDITIONAL
READING
.
222
CHAPTER
6.
COMPACT
LIE
GROUPS
.
223
COMPACT
LIE
ALGEBRAS
.
224
THE
COMMUTATOR
SUBGROUP
OF
A
COMPACT
LIE
GROUP
.
235
THE
STRUCTURE
THEOREM
FOR
COMPACT
LIE
GROUPS
.
243
MAXIMAL
TORI
.
246
THE
SECOND
STRUCTURE
THEOREM
FOR
CONNECTED
COMPACT
LIE
GROUPS
.
256
COMPACT
ABELIAN
LIE
GROUPS
AND
THEIR
LINEAR
ACTIONS
.
260
ACTION
OF
A
MAXIMAL
TORUS
ON
THE
LIE
ALGEBRA
.
264
THE
WEYL
GROUP
REVISITED
.
276
THE
COMMUTATOR
SUBGROUP
OF
CONNECTED
COMPACT
LIE
GROUPS
.
287
ON
THE
AUTOMORPHISM
GROUP
OF
A
COMPACT
LIE
GROUP
.
289
COVERING
GROUPS
OF
DISCONNECTED
COMPACT
LIE
GROUPS
.
313
AUERBACH
'
S
GENERATION
THEOREM
.
315
THE
TOPOLOGY
OF
CONNECTED
COMPACT
LIE
GROUPS
.
323
POSTSCRIPT
.
333
REFERENCES
FOR
THIS
CHAPTER
-
ADDITIONAL
READING
.
335
CHAPTER
7.
DUALITY
OF
ABELIAN
TOPOLOGICAL
GROUPS
.
336
THE
COMPACT
OPEN
TOPOLOGY
AND
HOM-GROUPS
.
337
LOCAL
COMPACTNESS
AND
DUALITY
OF
ABELIAN
TOPOLOGICAL
GROUPS
.
341
BASIC
FUNCTORIAL
ASPECTS
OF
DUALITY
.
348
THE
ANNIHILATOR
MECHANISM
.
351
CHARACTER
GROUPS
OF
TOPOLOGICAL
VECTOR
SPACES
.
362
THE
EXPONENTIAL
FUNCTION
.
372
WEIL
'
S
LEMMA
AND
COMPACTLY
GENERATED
ABELIAN
GROUPS
.
381
REDUCING
LOCALLY
COMPACT
ABELIAN
GROUPS
TO
COMPACT
ABELIAN
GROUPS
.
.
385
A
MAJOR
STRUCTURE
THEOREM
.
387
THE
DUALITY
THEOREM
.
390
THE
IDENTITY
COMPONENT
.
398
THE
WEIGHT
OF
LOCALLY
COMPACT
ABELIAN
GROUPS
.
401
POSTSCRIPT
.
403
REFERENCES
FOR
THIS
CHAPTER
-
ADDITIONAL
READING
.
406
CHAPTER
8.
COMPACT
ABELIAN
GROUPS
.
407
PART
1:
ASPECTS
OF
THE
ALGEBRAIC
STRUCTURE
DIVISIBILITY,
TORSION,
CONNECTIVITY
.
408
COMPACT
ABELIAN
GROUPS
AS
FACTOR
GROUPS
.
414
PART
2:
ASPECTS
OF
THE
POINT
SET
TOPOLOGICAL
STRUCTURE
TOPOLOGICAL
DIMENSION
OF
COMPACT
ABELIAN
GROUPS
.
422
ARC
CONNECTIVITY
.
429
LOCAL
CONNECTIVITY
.
434
COMPACT
METRIC
ABELIAN
GROUPS
.
447
PART
3:
ASPECTS
OF
ALGEBRAIC
TOPOLOGY
HOMOTOPY
FREE
COMPACT
ABELIAN
GROUPS
.
450
HOMOTOPY
OF
COMPACT
ABELIAN
GROUPS
.
455
EXPONENTIAL
FUNCTION
AND
HOMOTOPY
.
461
THE
FINE
STRUCTURE
OF
FREE
COMPACT
ABELIAN
GROUPS
.
462
PART
4:
ASPECTS
OF
HOMOLOGICAL
ALGEBRA
INJECTIVE,
PROJECTIVE,
AND
FREE
COMPACT
ABELIAN
GROUPS
.
469
PART
5:
ASPECTS
OF
ALGEBRAIC
TOPOLOGY
-
COHOMOLOGY
COHOMOLOGY
OF
COMPACT
ABELIAN
GROUPS
.
473
PART
6:
ASPECTS
OF
SET
THEORY
ARC
COMPONENTS
AND
BOREL
SUBSETS
.
479
PART
7:
THE
BOHR
COMPACTIFICATION:
THE
CASE
OF
ABELIAN
TOPOLOGICAL
GROUPS
.
482
POSTSCRIPT
.
487
REFERENCES
FOR
THIS
CHAPTER
-
ADDITIONAL
READING
.
490
CHAPTER
9.
THE
STRUCTURE
OF
COMPACT
GROUPS
.
491
PART
1:
THE
FUNDAMENTAL
STRUCTURE
THEOREMS
OF
COMPACT
GROUPS
APPROXIMATING
COMPACT
GROUPS
BY
COMPACT
LIE
GROUPS
.
492
THE
CLOSEDNESS
OF
COMMUTATOR
SUBGROUPS
.
493
SEMISIMPLE
COMPACT
CONNECTED
GROUPS
.
494
THE
LEVI-MAL
'
CEV
STRUCTURE
THEOREM
FOR
COMPACT
GROUPS
.
508
MAXIMAL
CONNECTED
ABELIAN
SUBGROUPS
.
516
THE
SPLITTING
STRUCTURE
THEOREM
.
522
SUPPLEMENTING
THE
IDENTITY
COMPONENT
.
523
PART
2:
THE
STRUCTURE
THEOREMS
FOR
THE
EXPONENTIAL
FUNCTION
THE
EXPONENTIAL
FUNCTION
OF
COMPACT
GROUPS
528
THE
DIMENSION
OF
COMPACT
GROUPS
.
535
LOCALLY
EUCLIDEAN
COMPACT
GROUPS
ARE
COMPACT
LIE
GROUPS
.
541
PART
3:
THE
CONNECTIVITY
STRUCTURE
OF
COMPACT
GROUPS
ARC
CONNECTIVITY
.
545
LOCAL
CONNECTIVITY
.
550
COMPACT
GROUPS
AND
INDECOMPOSABLE
CONTINUA
.
553
PART
4:
SOME
HOMOLOGICAL
ALGEBRA
FOR
COMPACT
GROUPS
THE
PROJECTIVE
COVER
OF
CONNECTED
COMPACT
GROUPS
.
555
PART
5:
THE
AUTOMORPHISM
GROUP
OF
COMPACT
GROUPS
.
564
THE
IWASAWA
THEORY
OF
AUTOMORPHISM
GROUPS
.
566
SIMPLE
COMPACT
GROUPS
AND
THE
COUNTABLE
LAYER
THEOREM
.
574
THE
STRUCTURE
OF
COMPACT
FC-GROUPS
.
576
THE
COMMUTATIVITY
DEGREE
OF
A
COMPACT
GROUP
.
581
POSTSCRIPT
.
583
REFERENCES
FOR
THIS
CHAPTER
-
ADDITIONAL
READING
.
586
CHAPTER
10.
COMPACT
GROUP
ACTIONS
.
587
A
PREPARATION
INVOLVING
COMPACT
SEMIGROUPS
.
588
ORBITS,
ORBIT
SPACE,
AND
ISOTROPY
.
588
EQUIVARIANCE
AND
CROSS
SECTIONS
.
592
TRIVIALITY
OF
AN
ACTION
.
597
QUOTIENT
ACTIONS,
TOTALLY
DISCONNECTED
G-SPACES
.
607
COMPACT
LIE
GROUP
ACTIONS
ON
LOCALLY
COMPACT
SPACES
.
608
TRIVIALITY
THEOREMS
FOR
COMPACT
GROUP
ACTIONS
.
610
SPLIT
MORPHISMS
.
615
ACTIONS
OF
COMPACT
GROUPS
AND
ACYCLICITY
.
628
FIXED
POINTS
OF
COMPACT
ABELIAN
GROUP
ACTIONS
.
630
TRANSITIVE
ACTIONS
OF
COMPACT
GROUPS
.
631
SZENTHE
'
S
THEORY
OF
TRANSITIVE
ACTIONS
OF
COMPACT
GROUPS
.
633
POSTSCRIPT
.
644
REFERENCES
FOR
THIS
CHAPTER
-
ADDITIONAL
READING
.
648
CHAPTER
11.
THE
STRUCTURE
OF
FREE
COMPACT
GROUPS
.
649
THE
CATEGORY
THEORETICAL
BACKGROUND
.
649
SPLITTING
THE
IDENTITY
COMPONENT
.
654
THE
CENTER
OF
A
FREE
COMPACT
GROUP
.
655
THE
COMMUTATOR
SUBGROUP
OF
A
FREE
COMPACT
GROUP
.
665
FREENESS
VERSUS
PROJECTIVITY
.
682
POSTSCRIPT
.
685
REFERENCES
FOR
THIS
CHAPTER
-
ADDITIONAL
READING
.
686
CHAPTER
12.
CARDINAL
INVARIANTS
OF
COMPACT
GROUPS
.
687
SUITABLE
SETS
.
687
GENERATING
RANK
AND
DENSITY
.
692
THE
CARDINAL
INVARIANTS
OF
CONNECTED
COMPACT
GROUPS
.
697
CARDINAL
INVARIANTS
IN
THE
ABSENCE
OF
CONNECTIVITY
.
701
ON
THE
LOCATION
OF
SPECIAL
GENERATING
SETS
.
704
POSTSCRIPT
.
709
REFERENCES
FOR
THIS
CHAPTER
-
ADDITIONAL
READING
.
710
APPENDIX
1.
ABELIAN
GROUPS
.
711
EXAMPLES
.
711
FREE
ABELIAN
GROUPS
.
715
PROJECTIVE
GROUPS
.
722
TORSION
SUBGROUPS
.
723
PURE
SUBGROUPS
.
724
FREE
QUOTIENTS
.
726
DIVISIBILITY
.
727
SOME
HOMOLOGICAL
ALGEBRA
.
738
EXACT
SEQUENCES
.
741
WHITEHEAD
'
S
PROBLEM
.
752
POSTSCRIPT
.
765
REFERENCES
FOR
THIS
APPENDIX
-
ADDITIONAL
READING
.
765
APPENDIX
2.
COVERING
SPACES
AND
GROUPS
.
766
COVERING
SPACES
AND
SIMPLE
CONNECTIVITY
.
766
THE
GROUP
OF
COVERING
TRANSFORMATIONS
.
779
UNIVERSAL
COVERING
GROUPS
.
780
GROUPS
GENERATED
BY
LOCAL
GROUPS
.
782
POSTSCRIPT
.
786
REFERENCES
FOR
THIS
APPENDIX
-
ADDITIONAL
READING
.
787
APPENDIX
3.
A
PRIMER
OF
CATEGORY
THEORY
.
788
PART
1:
GENERAL
CATEGORY
THEORY
.
788
CATEGORIES,
MORPHISMS
.
788
POINTED
CATEGORIES
.
796
TYPES
OF
MORPHISMS
.
797
FUNCTORS
.
805
NATURAL
TRANSFORMATIONS
.
817
EQUIVALENCE
OF
CATEGORIES
.
821
LIMITS
.
822
THE
CONTINUITY
OF
ADJOINTS
.
826
THE
LEFT
ADJOINT
EXISTENCE
THEOREM
.
826
THE
BOHR
COMPACTIFICATION
.
831
PART
2:
COMMUTATIVE
MONOIDAL
CATEGORIES
AND
THEIR
MONOIDS-HOPF
ALGEBRAS
833
PART
2-1:
THE
QUINTESSENTIAL
DIAGRAM
CHASE
.
833
PART
2-2:
CONNECTED
GRADED
COMMUTATIVE
HOPF
ALGEBRAS
.
843
PART
2-3:
DUALITY
OF
GRADED
HOPF
ALGEBRAS
.
859
PART
2-4:
AN
APPLICATION
TO
COMPACT
MONOIDS
.
861
PART
2-5:
WEAKLY
COMPLETE
SYMMETRIC
HOPF
ALGEBRAS
OVER
R
AND
C
.
863
PART
2-6:
WEAKLY
COMPLETE
GROUP
ALGEBRAS
AND
UNIVERSAL
ENVELOPING
ALGEBRAS
869
PART
2-7
ENVELOPING
ALGEBRAS
VERSUS
GROUP
ALGEBRAS
.
875
POSTSCRIPT
.
879
REFERENCES
FOR
THIS
APPENDIX
-
ADDITIONAL
READING
.
880
APPENDIX
4.
SELECTED
RESULTS
ON
TOPOLOGY
AND
TOPOLOGICAL
GROUPS
881
THE
ARC
COMPONENT
TOPOLOGY
.
881
THE
WEIGHT
OF
A
TOPOLOGICAL
SPACE
.
884
METRIZABILITY
OF
TOPOLOGICAL
GROUPS
.
889
DUALITY
OF
VECTOR
SPACES
.
897
SUBGROUPS
OF
TOPOLOGICAL
GROUPS
.
898
WALLACE
'
S
LEMMA
.
900
CANTOR
CUBES
AND
DYADIC
SPACES
.
900
SOME
BASIC
FACTS
ON
COMPACT
MONOIDS
.
902
POSTSCRIPT
.
905
REFERENCES
FOR
THIS
APPENDIX
-
ADDITIONAL
READING
.
906
APPENDIX
5.
MEASURES
ON
COMPACT
GROUPS
.
907
THE
DEFINITION
OF
HAAR
MEASURE
.
907
THE
REQUIRED
BACKGROUND
OF
RADON
MEASURE
THEORY
.
907
PRODUCT
MEASURES
.
908
THE
SUPPORT
OF
A
MEASURE
.
909
MEASURES
ON
COMPACT
GROUPS:
CONVOLUTION
.
911
SEMIGROUP
THEORETICAL
CHARACTERIZATION
OF
HAAR
MEASURE
.
914
IDEMPOTENT
PROBABILITY
MEASURES
ON
A
COMPACT
GROUP
.
915
ACTIONS
AND
PRODUCT
MEASURES
.
916
NONMEASURABLE
SUBGROUPS
OF
COMPACT
GROUPS
.
921
POSTSCRIPT
.
924
REFERENCES
FOR
THIS
APPENDIX
-
ADDITIONAL
READING
.
925
APPENDIX
6.
WELL-ORDERED
PROJECTIVE
LIMITS,
SUPERCOMPACTNESS,
AND
COMPACT
HOMEOMORPHISM
GROUPS
.
926
WELL-ORDERED
LIE
CHAINS
.
926
SUPERCOMPACTNESS
.
929
COMPACT
HOMEOMORPHISM
GROUPS
.
930
POSTSCRIPT
.
931
REFERENCES
FOR
THIS
APPENDIX
-
ADDITIONAL
READING
.
931
APPENDIX
7.
WEAKLY
COMPLETE
VECTOR
SPACES
AND
ALGEBRAS
.
932
CHARACTER
GROUPS
OF
TOPOLOGICAL
VECTOR
SPACES
.
932
FINITE
DIMENSIONAL
TOPOLOGICAL
VECTOR
SPACES
.
934
THE
FINEST
LOCALLY
CONVEX
TOPOLOGY
.
936
WEAKLY
COMPLETE
TOPOLOGICAL
VECTOR
SPACES
.
940
DUALITY
AT
WORK
FOR
WEAKLY
COMPLETE
TOPOLOGICAL
VECTOR
SPACES
.
944
TOPOLOGICAL
PROPERTIES
OF
WEAKLY
COMPLETE
TOPOLOGICAL
VECTOR
SPACES
.
.
.
948
TENSOR
PRODUCTS
.
950
PRO-LIE
GROUPS
.
951
WEAKLY
COMPLETE
UNITAL
ALGEBRAS
.
953
THE
EXPONENTIAL
FUNCTION
.
963
POSTSCRIPT
.
965
REFERENCES
FOR
THIS
APPENDIX
-
ADDITIONAL
READING
.
967
REFERENCES
.
969
INDEX
OF
SYMBOLS
.
991
INDEX
.
993 |
| any_adam_object | |
| any_adam_object_boolean | 1 |
| author | Hofmann, Karl H. 1932- Morris, Sidney A. 1947- |
| author_GND | (DE-588)115780734 (DE-588)132019515 |
| author_facet | Hofmann, Karl H. 1932- Morris, Sidney A. 1947- |
| author_role | aut aut |
| author_sort | Hofmann, Karl H. 1932- |
| author_variant | k h h kh khh s a m sa sam |
| building | Verbundindex |
| bvnumber | BV049419234 |
| classification_rvk | SK 340 |
| ctrlnum | (OCoLC)1409139499 (DE-599)DNB1299123090 |
| discipline | Mathematik |
| edition | 5th edition |
| format | Book |
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| id | DE-604.BV049419234 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T23:07:29Z |
| indexdate | 2025-06-20T10:01:51Z |
| institution | BVB |
| institution_GND | (DE-588)10095502-2 |
| isbn | 9783111171630 3111171639 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034746170 |
| oclc_num | 1409139499 |
| open_access_boolean | |
| owner | DE-29T DE-20 DE-11 |
| owner_facet | DE-29T DE-20 DE-11 |
| physical | xli, 1032 Seiten 24 cm x 17 cm |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | De Gruyter |
| record_format | marc |
| series | De Gruyter studies in mathematics |
| series2 | De Gruyter studies in mathematics |
| spelling | Hofmann, Karl H. 1932- Verfasser (DE-588)115780734 aut The structure of compact groups a primer for the student - a handbook for the expert Karl H. Hofmann, Sidney A. Morris 5th edition Berlin ; Boston De Gruyter [2023] xli, 1032 Seiten 24 cm x 17 cm txt rdacontent n rdamedia nc rdacarrier De Gruyter studies in mathematics Volume 25 Kompakte Gruppe (DE-588)4164840-7 gnd rswk-swf Abelsche Gruppen Kategorientheorie Kompakte Gruppen Luge Algebra Topologische Gruppen Abelian groups category theory compact groups Lie algebra topological groups. Kompakte Gruppe (DE-588)4164840-7 s DE-604 Morris, Sidney A. 1947- Verfasser (DE-588)132019515 aut Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe, PDF 978-3-11-117260-6 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-117405-1 De Gruyter studies in mathematics Volume 25 (DE-604)BV000005407 25 X:MVB https://www.degruyter.com/isbn/9783111171630 DNB Datenaustausch https://bvbr.bib-bvb.de:443/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034746170&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p vlb 20230812 DE-101 https://d-nb.info/provenance/plan#vlb |
| spellingShingle | Hofmann, Karl H. 1932- Morris, Sidney A. 1947- The structure of compact groups a primer for the student - a handbook for the expert De Gruyter studies in mathematics Kompakte Gruppe (DE-588)4164840-7 gnd |
| subject_GND | (DE-588)4164840-7 |
| title | The structure of compact groups a primer for the student - a handbook for the expert |
| title_auth | The structure of compact groups a primer for the student - a handbook for the expert |
| title_exact_search | The structure of compact groups a primer for the student - a handbook for the expert |
| title_exact_search_txtP | The structure of compact groups a primer for the student - a handbook for the expert |
| title_full | The structure of compact groups a primer for the student - a handbook for the expert Karl H. Hofmann, Sidney A. Morris |
| title_fullStr | The structure of compact groups a primer for the student - a handbook for the expert Karl H. Hofmann, Sidney A. Morris |
| title_full_unstemmed | The structure of compact groups a primer for the student - a handbook for the expert Karl H. Hofmann, Sidney A. Morris |
| title_short | The structure of compact groups |
| title_sort | the structure of compact groups a primer for the student a handbook for the expert |
| title_sub | a primer for the student - a handbook for the expert |
| topic | Kompakte Gruppe (DE-588)4164840-7 gnd |
| topic_facet | Kompakte Gruppe |
| url | https://www.degruyter.com/isbn/9783111171630 https://bvbr.bib-bvb.de:443/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034746170&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000005407 |
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