Holdings: Algebraic groups and differential Galois theory

Saved in:

Bibliographic Details
Title:	Algebraic groups and differential Galois theory
From:	Teresa Crespo ; Zbigniew Hajto
Person:	Crespo, Teresa 1955- Verfasser aut Hajto, Zbigniew
Main Authors:	Crespo, Teresa 1955- (Author), Hajto, Zbigniew 1955- (Author)
Format:	Book
Language:	English
Published:	Providence, RI American Math. Soc. 2011
Series:	Graduate studies in mathematics 122
Notation:	SK 240 SK 260
Subjects:	Differential-Galois-Theorie Algebraische Gruppe
Online Access:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024151170&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	XIV, 225 S. graph. Darst.
ISBN:	9780821853184

Staff View

MARC


LEADER	00000nam a2200000 cb4500
001	BV039132897
003	DE-604
005	20210113
007	t\|
008	110712s2011 xx d\|\|\| \|\|\|\| 00\|\|\| eng d
020			\|a 9780821853184 \|9 978-0-8218-5318-4
035			\|a (OCoLC)712204028
035			\|a (DE-599)BVBBV039132897
040			\|a DE-604 \|b ger
041	0		\|a eng
049			\|a DE-634 \|a DE-188 \|a DE-20 \|a DE-824 \|a DE-19 \|a DE-384 \|a DE-355 \|a DE-11 \|a DE-83
084			\|a SK 240 \|0 (DE-625)143226: \|2 rvk
084			\|a SK 260 \|0 (DE-625)143227: \|2 rvk
084			\|a 68W30 \|2 msc
084			\|a 17B45 \|2 msc
084			\|a 34M35 \|2 msc
084			\|a 14A10 \|2 msc
084			\|a 13B05 \|2 msc
084			\|a 20G15 \|2 msc
084			\|a 12H05 \|2 msc
100	1		\|a Crespo, Teresa \|d 1955- \|e Verfasser \|0 (DE-588)1014894611 \|4 aut
245	1	0	\|a Algebraic groups and differential Galois theory \|c Teresa Crespo ; Zbigniew Hajto
264		1	\|a Providence, RI \|b American Math. Soc. \|c 2011
300			\|a XIV, 225 S. \|b graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Graduate studies in mathematics \|v 122
650	0	7	\|a Differential-Galois-Theorie \|0 (DE-588)4723165-8 \|2 gnd \|9 rswk-swf
650	0	7	\|a Algebraische Gruppe \|0 (DE-588)4001164-1 \|2 gnd \|9 rswk-swf
689	0	0	\|a Differential-Galois-Theorie \|0 (DE-588)4723165-8 \|D s
689	0	1	\|a Algebraische Gruppe \|0 (DE-588)4001164-1 \|D s
689	0		\|5 DE-604
700	1		\|a Hajto, Zbigniew \|d 1955- \|e Verfasser \|0 (DE-588)1014894689 \|4 aut
776	0	8	\|i Erscheint auch als \|n Online-Ausgabe \|z 978-1-4704-1183-1
830		0	\|a Graduate studies in mathematics \|v 122 \|w (DE-604)BV009739289 \|9 122
856	4	2	\|m HBZ Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024151170&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
943	1		\|a oai:aleph.bib-bvb.de:BVB01-024151170

Record in the Search Index

DE-BY-UBR_call_number	80/SK 240 C921
DE-BY-UBR_katkey	5463599
DE-BY-UBR_location	UB Lesesaal Mathematik
DE-BY-UBR_media_number	069039565957
_version_	1835094839269523456
adam_text	Titel: Algebraic groups and differential Galois theory Autor: Crespo, Teresa Jahr: 2011 Contents Preface xi Introduction xiü Part 1. Algebraic Geometry Chapter 1. Affine and Projective Varieties 3 §1.1. Affine varieties 3 §1.2. Abstract affine varieties 17 §1.3. Projective varieties 19 Exercises 25 Chapter 2. Algebraic Varieties 27 §2.1. Prevarieties 27 §2.2. Varieties 31 Exercises Part 2. Algebraic Groups Chapter 3. Basic Notions 55 §3.1. The notion of algebraic group 55 §3.2. Connected algebraic groups 56 §3.3. Subgroups and morphisms §3.4. Linearization of affine algebraic groups §3.5. Homogeneous Spaces 65 §3.6. Characters and semi-invariants 66 vii 59 60 viii__________________________________________________ Contents §3.7. Quotients 67 Exercises 72 Chapter 4. Lie Algebras and Algebraic Groups 75 §4.1. Lie algebras 75 §4.2. The Lie algebra of a linear algebraic group 79 §4.3. Decomposition of algebraic groups 86 §4.4. Solvable algebraic groups 91 §4.5. Correspondence between algebraic groups and Lie algebras 95 §4.6. Subgroups of SL(2, C) 104 Exercises 115 Part 3. Differential Galois Theory Chapter 5- Picard-Vessiot Extensions 121 §5.1. Derivations 121 §5.2. Differential rings 122 §5.3. Differential extensions 124 §5.4. The ring of differential Operators 125 §5.5. Homogeneous linear differential equations 126 §5.6. The Picard-Vessiot extension 127 Exercises 133 Chapter 6. The Galois Correspondence 141 §6.1. Differential Galois group 141 §6.2. The differential Galois group as a linear algebraic group 145 §6.3. The fundamental theorem of differential Galois theory 151 §6.4. Liouville extensions 158 §6.5. Generalized Liouville extensions 160 Exercises 162 Chapter 7. Differential Equations over C(z) 165 §7.1. Fuchsian differential equations 165 §7.2. Monodromy group 173 §7.3. Kovacic s algorithm 176 Exercises 211 Contents ix Chapter 8. Suggestions for Further Reading 215 Bibliography 219 Index 223
any_adam_object	1
author	Crespo, Teresa 1955- Hajto, Zbigniew 1955-
author_GND	(DE-588)1014894611 (DE-588)1014894689
author_facet	Crespo, Teresa 1955- Hajto, Zbigniew 1955-
author_role	aut aut
author_sort	Crespo, Teresa 1955-
author_variant	t c tc z h zh
building	Verbundindex
bvnumber	BV039132897
classification_rvk	SK 240 SK 260
ctrlnum	(OCoLC)712204028 (DE-599)BVBBV039132897
discipline	Mathematik
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01929nam a2200481 cb4500</leader><controlfield tag="001">BV039132897</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210113 </controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">110712s2011 xx d\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780821853184</subfield><subfield code="9">978-0-8218-5318-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)712204028</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV039132897</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-634</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 240</subfield><subfield code="0">(DE-625)143226:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 260</subfield><subfield code="0">(DE-625)143227:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">68W30</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17B45</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">34M35</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">14A10</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">13B05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">20G15</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">12H05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Crespo, Teresa</subfield><subfield code="d">1955-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1014894611</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Algebraic groups and differential Galois theory</subfield><subfield code="c">Teresa Crespo ; Zbigniew Hajto</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Math. Soc.</subfield><subfield code="c">2011</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIV, 225 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Graduate studies in mathematics</subfield><subfield code="v">122</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differential-Galois-Theorie</subfield><subfield code="0">(DE-588)4723165-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Gruppe</subfield><subfield code="0">(DE-588)4001164-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differential-Galois-Theorie</subfield><subfield code="0">(DE-588)4723165-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Algebraische Gruppe</subfield><subfield code="0">(DE-588)4001164-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hajto, Zbigniew</subfield><subfield code="d">1955-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1014894689</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-1-4704-1183-1</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Graduate studies in mathematics</subfield><subfield code="v">122</subfield><subfield code="w">(DE-604)BV009739289</subfield><subfield code="9">122</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024151170&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-024151170</subfield></datafield></record></collection>
id	DE-604.BV039132897
illustrated	Illustrated
indexdate	2024-12-20T15:50:48Z
institution	BVB
isbn	9780821853184
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-024151170
oclc_num	712204028
open_access_boolean
owner	DE-634 DE-188 DE-20 DE-824 DE-19 DE-BY-UBM DE-384 DE-355 DE-BY-UBR DE-11 DE-83
owner_facet	DE-634 DE-188 DE-20 DE-824 DE-19 DE-BY-UBM DE-384 DE-355 DE-BY-UBR DE-11 DE-83
physical	XIV, 225 S. graph. Darst.
publishDate	2011
publishDateSearch	2011
publishDateSort	2011
publisher	American Math. Soc.
record_format	marc
series	Graduate studies in mathematics
series2	Graduate studies in mathematics
spellingShingle	Crespo, Teresa 1955- Hajto, Zbigniew 1955- Algebraic groups and differential Galois theory Graduate studies in mathematics Differential-Galois-Theorie (DE-588)4723165-8 gnd Algebraische Gruppe (DE-588)4001164-1 gnd
subject_GND	(DE-588)4723165-8 (DE-588)4001164-1
title	Algebraic groups and differential Galois theory
title_auth	Algebraic groups and differential Galois theory
title_exact_search	Algebraic groups and differential Galois theory
title_full	Algebraic groups and differential Galois theory Teresa Crespo ; Zbigniew Hajto
title_fullStr	Algebraic groups and differential Galois theory Teresa Crespo ; Zbigniew Hajto
title_full_unstemmed	Algebraic groups and differential Galois theory Teresa Crespo ; Zbigniew Hajto
title_short	Algebraic groups and differential Galois theory
title_sort	algebraic groups and differential galois theory
topic	Differential-Galois-Theorie (DE-588)4723165-8 gnd Algebraische Gruppe (DE-588)4001164-1 gnd
topic_facet	Differential-Galois-Theorie Algebraische Gruppe
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024151170&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV009739289
work_keys_str_mv	AT crespoteresa algebraicgroupsanddifferentialgaloistheory AT hajtozbigniew algebraicgroupsanddifferentialgaloistheory

Holdings

Check order option

Table of contents

UL Reading Room Mathematics

Note the shelfmark and use on site or borrow for two weeks

Holdings details from UB Lesesaal Mathematik
Call Number:	80 SK 240 C921
Copy 1	circulating On Shelf