Verfügbarkeit: Algebraic groups and Lie groups with few factors

Algebraic groups and Lie groups with few factors:

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Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin [u.a.] Springer 2008
Schriftenreihe:	Lecture notes in mathematics 1944
Schlagworte:	Linear algebraic groups Lie groups Group theory Lie-Gruppe Algebraische Gruppe
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	XVI, 206 S.
ISBN:	9783540785835

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MARC


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Datensatz im Suchindex

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adam_text	Contents Preface ........................................................ V 1 Prerequisites .............................................. 1 1.1 Real aiul Complex Lie Groups ............................ 1 1.2 Formili Groups and /»-Adie Lio Groups ..................... 3 1.3 Algebraic Groups ........................................ 4 2 Extensions ................................................. 11 2.1 Extensions of Unipoteiit Groups and Isogenies .............. 11 2.2 Extensions of Commutative Lie Groups .................... 23 3 Groups of Extreme Nilpotency Class ...................... 29 3.1 Maximal Nilpotency Class ................................ 29 3.2 Groups with a Big Centre. ................................ 37 4 Chains ..................................................... 49 4.1 Preliminaries ............................................ 49 4.2 Three-Dimensional Chains ................................ 53 4.3 Chains with One-Dimensional Commutator Subgroup ........ 69 5 Groups with Few Types of Isogenous Factors .............. 81 5.1 A Useful Theorem ....................................... 81 5.2 Uni-Minimal and Uni-Maximal Groups ..................... 82 5.3 Semi-Commi if ative Groups and Lie Algebras ................101 5.4 Aligned Groups and Aligned Lie Algebras ..................109 5.5 Co-Aligned Groups and Co-Aligned Lie Algebras ............117 5.0 Aligned and Co-Aligned Commutative Groups ..............130 5.7 Characterisations of Chains by Factors .....................142 XVI Contents 6 Three-Dimensional Affine Groups ..........................149 6.1 Reduction to Subclasses ..................................149 6.2 dim G = 1..............................................151 6.3 dimG = 2..............................................155 6.4 Characterisation of Three-Dimensional Unipotent Groups .....158 7 Normality of Subgroups ...................................167 7.1 Quasi-Normal Subgroups .................................167 7.2 Hamiltonian Groups .....................................175 7.3 Topological Quasi-Normality ..............................183 7.4 Super-Hamiltonian Groups ...............................188 References .....................................................199 Notation .......................................................205 Index ..........................................................207
adam_txt	Contents Preface . V 1 Prerequisites . 1 1.1 Real aiul Complex Lie Groups . 1 1.2 Formili Groups and /»-Adie Lio Groups . 3 1.3 Algebraic Groups . 4 2 Extensions . 11 2.1 Extensions of Unipoteiit Groups and Isogenies . 11 2.2 Extensions of Commutative Lie Groups . 23 3 Groups of Extreme Nilpotency Class . 29 3.1 Maximal Nilpotency Class . 29 3.2 Groups with a Big Centre. . 37 4 Chains . 49 4.1 Preliminaries . 49 4.2 Three-Dimensional Chains . 53 4.3 Chains with One-Dimensional Commutator Subgroup . 69 5 Groups with Few Types of Isogenous Factors . 81 5.1 A Useful Theorem . 81 5.2 Uni-Minimal and Uni-Maximal Groups . 82 5.3 Semi-Commi if ative Groups and Lie Algebras .101 5.4 Aligned Groups and Aligned Lie Algebras .109 5.5 Co-Aligned Groups and Co-Aligned Lie Algebras .117 5.0 Aligned and Co-Aligned Commutative Groups .130 5.7 Characterisations of Chains by Factors .142 XVI Contents 6 Three-Dimensional Affine Groups .149 6.1 Reduction to Subclasses .149 6.2 dim G' = 1.151 6.3 dimG' = 2.155 6.4 Characterisation of Three-Dimensional Unipotent Groups .158 7 Normality of Subgroups .167 7.1 Quasi-Normal Subgroups .167 7.2 Hamiltonian Groups .175 7.3 Topological Quasi-Normality .183 7.4 Super-Hamiltonian Groups .188 References .199 Notation .205 Index .207
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series	Lecture notes in mathematics
series2	Lecture notes in mathematics
spelling	Algebraic groups and Lie groups with few factors Alfonso Di Bartolo ... Berlin [u.a.] Springer 2008 XVI, 206 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1944 Linear algebraic groups Lie groups Group theory Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Algebraische Gruppe (DE-588)4001164-1 gnd rswk-swf Algebraische Gruppe (DE-588)4001164-1 s DE-604 Lie-Gruppe (DE-588)4035695-4 s Di Bartolo, Alfonso Sonstige oth Lecture notes in mathematics 1944 (DE-604)BV000676446 1944 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016479521&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Algebraic groups and Lie groups with few factors Lecture notes in mathematics Linear algebraic groups Lie groups Group theory Lie-Gruppe (DE-588)4035695-4 gnd Algebraische Gruppe (DE-588)4001164-1 gnd
subject_GND	(DE-588)4035695-4 (DE-588)4001164-1
title	Algebraic groups and Lie groups with few factors
title_auth	Algebraic groups and Lie groups with few factors
title_exact_search	Algebraic groups and Lie groups with few factors
title_exact_search_txtP	Algebraic groups and Lie groups with few factors
title_full	Algebraic groups and Lie groups with few factors Alfonso Di Bartolo ...
title_fullStr	Algebraic groups and Lie groups with few factors Alfonso Di Bartolo ...
title_full_unstemmed	Algebraic groups and Lie groups with few factors Alfonso Di Bartolo ...
title_short	Algebraic groups and Lie groups with few factors
title_sort	algebraic groups and lie groups with few factors
topic	Linear algebraic groups Lie groups Group theory Lie-Gruppe (DE-588)4035695-4 gnd Algebraische Gruppe (DE-588)4001164-1 gnd
topic_facet	Linear algebraic groups Lie groups Group theory Lie-Gruppe Algebraische Gruppe
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016479521&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000676446
work_keys_str_mv	AT dibartoloalfonso algebraicgroupsandliegroupswithfewfactors

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