Verfügbarkeit: Representations of compact Lie groups

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Bibliographische Detailangaben
Beteiligte Personen:	Bröcker, Theodor 1938- (VerfasserIn), Tom Dieck, Tammo 1938- (VerfasserIn)
Format:	Buch
Sprache:	Deutsch
Veröffentlicht:	New York [u.a.] Springer 1995
Ausgabe:	Corr. 2. printing
Schriftenreihe:	Graduate texts in mathematics 98
Schlagwörter:	Lie groups Representations of Lie groups Kompakte Lie-Gruppe Repräsentation Lie-Gruppe Darstellungstheorie Kompakte Gruppe
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007122387&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Literaturverz. S. 299 - 303
Umfang:	X, 313 S. 24 Ill.
ISBN:	3540136789 0387136789

Internformat

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Datensatz im Suchindex

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adam_text	I THEODOR BROECKER TAMMO TOM DIECK REPRESENTATIONS OF COMPACT LIE GROUPS WITH 24 ILLUSTRATIONS SPRINGER CONTENTS CHAPTERI LIE GROUPS AND LIE ALGEBRAS 1 1. THE CONCEPT OF A LIE GROUP AND THE CLASSICAL EXAMPLES 1 2. LEFT-INVARIANT VECTOR FIELDS AND ONE-PARAMETER GROUPS 11 3. THE EXPONENTIAL MAP 22 4. HOMOGENEOUS SPACES AND QUOTIENT GROUPS 30 5. INVARIANT INTEGRATION 40 6. CLIFFORD ALGEBRAS AND SPINOR GROUPS 54 CHAPTER II ELEMENTARY REPRESENTATION THEORY 64 1. REPRESENTATIONS 65 2. SEMISIMPLE MODULES 72 3. LINEAR ALGEBRA AND REPRESENTATIONS 74 4. CHARACTERS AND ORTHOGONALITY RELATIONS 77 5. REPRESENTATIONS OF SU(2), SO(3), U(2), AND 0(3). 84 6. REAL AND QUATERNIONIC REPRESENTATIONS 93 7. THE CHARACTER RING AND THE REPRESENTATION RING 102 8. REPRESENTATIONS OF ABELIAN GROUPS 107 9. REPRESENTATIONS OF LIE ALGEBRAS 111 10. THE LIE ALGEBRA SL(2,C) 115 CHAPTER III REPRESENTATIVE FUNCTIONS 123 1. ALGEBRAS OF REPRESENTATIVE FUNCTIONS 123 2. SOME ANALYSIS ON COMPACT CROUPS 129 3. THE THEOREM OF PETER AND WEYL 133 4. APPLICATIONS OF THE THEOREM OF PETER AND WEYL 136 5. GENERAHZATIONS OF THE THEOREM OF PETER AND WEYL 138 6. INDUCED REPRESENTATIONS 143 X CONTENTS 7. TANNAKA-KREM DUALITY 146 8. THE COMPLEXIFICATION OF COMPACT LIE GROUPS 151 CHAPTER IV THE MAXIMAL TORUS OF A COMPACT LIE GROUP 157 1. MAXIMAL TORI 157 2. CONSEQUENCES OF THE CONJUGATION THEOREM 164 3. THE MAXIMAL TORI AND WEYL GROUPS OF THE CLASSICAL GROUPS 169 4. CARTANSUBGROUPSOFNONCONNECTED COMPACT GROUPS 176 CHAPTER V ROOT SYSTEMS 183 1. THE ADJOINT REPRESENTATION AND GROUPS OF RANK 1 183 2. ROOTS AND WEYL CHAMBERS 189 3. ROOT SYSTEMS 197 4. BASES AND WEYL CHAMBERS 202 5. DYNKIN DIAGRAMS 209 6. THE ROOTS OF THE CLASSICAL GROUPS 216 7. THE FUNDAMENTAL GROUP, THE CENTER AND THE STIEFEL DIAGRAM 223 8. THE STRUCTURE OF THE COMPACT GROUPS 232 CHAPTER VI IRREDUCIBLE CHARACTERS AND WEIGHTS 239 1. THE WEYL CHARACTER FORMULA 239 2. THE DOMINANT WEIGHT AND THE STRUCTURE OF THE REPRESENTATION RING 249 3. THE MULTIPLICITIES OF THE WEIGHTS OF AN IRREDUCIBLE REPRESENTATION 257 4. REPRESENTATIONS OF REAL OR QUATERNIONIC TYPE 261 5. REPRESENTATIONS OF THE CLASSICAL GROUPS 265 6. REPRESENTATIONS OF THE SPINOR GROUPS 278 7. REPRESENTATIONS OF THE ORTHOGONAL GROUPS 292 BIBLIOGRAPHY 299 SYMBOL INDEX 305 SUBJECT INDEX 307
any_adam_object	1
author	Bröcker, Theodor 1938- Tom Dieck, Tammo 1938-
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bvnumber	BV010669824
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id	DE-604.BV010669824
illustrated	Illustrated
indexdate	2024-12-20T09:58:41Z
institution	BVB
isbn	3540136789 0387136789
language	German
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-007122387
oclc_num	34029194
open_access_boolean
owner	DE-91 DE-BY-TUM DE-11
owner_facet	DE-91 DE-BY-TUM DE-11
physical	X, 313 S. 24 Ill.
publishDate	1995
publishDateSearch	1995
publishDateSort	1995
publisher	Springer
record_format	marc
series	Graduate texts in mathematics
series2	Graduate texts in mathematics
spellingShingle	Bröcker, Theodor 1938- Tom Dieck, Tammo 1938- Representations of compact Lie groups Graduate texts in mathematics Lie groups Representations of Lie groups Kompakte Lie-Gruppe (DE-588)4164846-8 gnd Repräsentation (DE-588)4137492-7 gnd Lie-Gruppe (DE-588)4035695-4 gnd Darstellungstheorie (DE-588)4148816-7 gnd Kompakte Gruppe (DE-588)4164840-7 gnd
subject_GND	(DE-588)4164846-8 (DE-588)4137492-7 (DE-588)4035695-4 (DE-588)4148816-7 (DE-588)4164840-7
title	Representations of compact Lie groups
title_auth	Representations of compact Lie groups
title_exact_search	Representations of compact Lie groups
title_full	Representations of compact Lie groups Theodor Bröcker ; Tammo tom Dieck
title_fullStr	Representations of compact Lie groups Theodor Bröcker ; Tammo tom Dieck
title_full_unstemmed	Representations of compact Lie groups Theodor Bröcker ; Tammo tom Dieck
title_short	Representations of compact Lie groups
title_sort	representations of compact lie groups
topic	Lie groups Representations of Lie groups Kompakte Lie-Gruppe (DE-588)4164846-8 gnd Repräsentation (DE-588)4137492-7 gnd Lie-Gruppe (DE-588)4035695-4 gnd Darstellungstheorie (DE-588)4148816-7 gnd Kompakte Gruppe (DE-588)4164840-7 gnd
topic_facet	Lie groups Representations of Lie groups Kompakte Lie-Gruppe Repräsentation Lie-Gruppe Darstellungstheorie Kompakte Gruppe
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007122387&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000000067
work_keys_str_mv	AT brockertheodor representationsofcompactliegroups AT tomdiecktammo representationsofcompactliegroups

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