Linear algebraic groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
New York ; Berlin ; Heidelberg ; London ; Paris ; Tokyo ; Hong K
Springer
1995
|
| Edition: | (Corr. 4. printing) |
| Series: | Graduate texts in mathematics
21 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 233 - 245 |
| Physical Description: | XVI, 253 S. |
| ISBN: | 3540901086 0387901086 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV010387552 | ||
| 003 | DE-604 | ||
| 005 | 19970123 | ||
| 007 | t | ||
| 008 | 950911s1995 gw |||| 00||| ger d | ||
| 016 | 7 | |a 945214375 |2 DE-101 | |
| 020 | |a 3540901086 |c (Berlin ...) Pp. |9 3-540-90108-6 | ||
| 020 | |a 0387901086 |c (New York ...) Pp. |9 0-387-90108-6 | ||
| 035 | |a (OCoLC)7718938 | ||
| 035 | |a (DE-599)BVBBV010387552 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a ger | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-91 |a DE-11 | ||
| 050 | 0 | |a QA179 | |
| 082 | 0 | |a 512/.2 |2 20 | |
| 084 | |a QH 140 |0 (DE-625)141533: |2 rvk | ||
| 084 | |a SK 240 |0 (DE-625)143226: |2 rvk | ||
| 084 | |a SK 260 |0 (DE-625)143227: |2 rvk | ||
| 084 | |a MAT 204f |2 stub | ||
| 100 | 1 | |a Humphreys, James E. |d 1939-2020 |e Verfasser |0 (DE-588)108120848 |4 aut | |
| 245 | 1 | 0 | |a Linear algebraic groups |c James E. Humphreys |
| 250 | |a (Corr. 4. printing) | ||
| 264 | 1 | |a New York ; Berlin ; Heidelberg ; London ; Paris ; Tokyo ; Hong K |b Springer |c 1995 | |
| 300 | |a XVI, 253 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Graduate texts in mathematics |v 21 | |
| 500 | |a Literaturverz. S. 233 - 245 | ||
| 650 | 4 | |a Linear algebraic groups | |
| 650 | 0 | 7 | |a Lineare Gruppe |0 (DE-588)4138778-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lineare algebraische Gruppe |0 (DE-588)4295326-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lie-Algebra |0 (DE-588)4130355-6 |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 Lineare algebraische Gruppe |0 (DE-588)4295326-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Algebraische Gruppe |0 (DE-588)4001164-1 |D s |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 689 | 2 | 0 | |a Lie-Algebra |0 (DE-588)4130355-6 |D s |
| 689 | 2 | |8 2\p |5 DE-604 | |
| 689 | 3 | 0 | |a Lineare Gruppe |0 (DE-588)4138778-8 |D s |
| 689 | 3 | |8 3\p |5 DE-604 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006916508&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 3\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006916508 | |
Record in the Search Index
| _version_ | 1807323859118981120 |
|---|---|
| adam_text |
TABLE
OF
CONTENTS
I.
ALGEBRAIC
GEOMETRY
1
0.
SOME
COMMUTATIVE
ALGEBRA
.
1
1.
AFFINE
AND
PROJECTIVE
VARIETIES
.
4
1.1
IDEALS
AND
AFFINE
VARIETIES
.
4
1.2
ZARISKI
TOPOLOGY
ON
AFFINE
SPACE
.
6
1.3
IRREDUCIBLE
COMPONENTS
.
7
1.4
PRODUCTS
OF
AFFINE
VARIETIES
.
9
1.5
AFFINE
ALGEBRAS
AND
MORPHISMS
.
9
1.6
PROJECTIVE
VARIETIES
.
.
.
.
.
.
.
11
1.7
PRODUCTS
OF
PROJECTIVE
VARIETIES
.
13
1.8
FLAG
VARIETIES
.
14
2.
VARIETIES
.
16
2.1
LOCAL
RINGS
.
16
2.2
PREVARIETIES
.
.
.
17
2.3
MORPHISMS
.
18
2.4
PRODUCTS
.
20
2.5
HAUSDORFF
AXIOM
.
22
3.
DIMENSION
.
24
3.1
DIMENSION
OF
A
VARIETY
.
24
3.2
DIMENSION
OF
A
SUBVARIETY
.
25
3.3
DIMENSION
THEOREM
.
26
3.4
CONSEQUENCES
.
28
4.
MORPHISMS
.
29
4.1
FIBRES
OF
A
MORPHISM
.
29
4.2
FINITE
MORPHISMS
.
31
4.3
IMAGE
OF
A
MORPHISM
.
32
4.4
CONSTRUCTIBLE
SETS
.
33
4.5
OPEN
MORPHISMS
.
34
4.6
BIJECTIVE
MORPHISMS
.
34
4.7
BIRATIONAL
MORPHISMS
.
36
5.
TANGENT
SPACES
.
37
5.1
ZARISKI
TANGENT
SPACE
.
37
5.2
EXISTENCE
OF
SIMPLE
POINTS
.
39
5.3
LOCAL
RING
OF
A
SIMPLE
POINT
.
40
5.4
DIFFERENTIAL
OF
A
MORPHISM
.
42
5.5
DIFFERENTIAL
CRITERION
FOR
SEPARABILITY
.
43
XII
TABLE
OF
CONTENTS
6.
COMPLETE
VARIETIES
.
45
6.1
BASIC
PROPERTIES
.
45
6.2
COMPLETENESS
OF
PROJECTIVE
VARIETIES
.
46
6.3
VARIETIES
ISOMORPHIC
TO
P
1
.
47
6.4
AUTOMORPHISMS
OF
P
1
.
47
II.
AFFINE
ALGEBRAIC
GROUPS
51
7.
BASIC
CONCEPTS
AND
EXAMPLES
.
51
7.1
THE
NOTION
OF
ALGEBRAIC
GROUP
.
51
7.2
SOME
CLASSICAL
GROUPS
.
52
7.3
IDENTITY
COMPONENT
.
.
.
.
.
.
.53
7.4
SUBGROUPS
AND
HOMOMORPHISMS
.
54
7.5
GENERATION
BY
IRREDUCIBLE
SUBSETS
.
55
7.6
HOPF
ALGEBRAS
.
56
8.
ACTIONS
OF
ALGEBRAIC
GROUPS
ON
VARIETIES
.
58
8.1
GROUP
ACTIONS
.
58
8.2
ACTIONS
OF
ALGEBRAIC
GROUPS
.
59
8.3
CLOSED
ORBITS
.
60
8.4
SEMIDIRECT
PRODUCTS
.
61
8.5
TRANSLATION
OF
FUNCTIONS
.
61
8.6
LINEARIZATION
OF
AFFINE
GROUPS
.
62
III.
LIE
ALGEBRAS
65
9.
LIE
ALGEBRA
OF
AN
ALGEBRAIC
GROUP
.
65
9.1
LIE
ALGEBRAS
AND
TANGENT
SPACES
.
65
9.2
CONVOLUTION
.
66
9.3
EXAMPLES
.
67
9.4
SUBGROUPS
AND
LIE
SUBALGEBRAS
.
68
9.5
DUAL
NUMBERS
.
69
10.
DIFFERENTIATION
.
70
10.1
SOME
ELEMENTARY
FORMULAS
.
71
10.2
DIFFERENTIAL
OF
RIGHT
TRANSLATION
.
.
.
71
10.3
THE
ADJOINT
REPRESENTATION
.
72
10.4
DIFFERENTIAL
OF
AD
.
73
10.5
COMMUTATORS
.
75
10.6
CENTRALIZERS
.
76
10.7
AUTOMORPHISMS
AND
DERIVATIONS
.
76
IV.
HOMOGENEOUS
SPACES
79
11.
CONSTRUCTION
OF
CERTAIN
REPRESENTATIONS
.
79
11.1
ACTION
ON
EXTERIOR
POWERS
.
79
11.2
A
THEOREM
OF
CHEVALLEY
.
80
11.3
PASSAGE
TO
PROJECTIVE
SPACE
.
80
TABLE
OF
CONTENTS
XIII
11.4
CHARACTERS
AND
SEMI-INVARIANTS
.
81
11.5
NORMAL
SUBGROUPS
.
82
12.
QUOTIENTS
.
83
12.1
UNIVERSAL
MAPPING
PROPERTY
.
83
12.2
TOPOLOGY
OF
Y
.
84
12.3
FUNCTIONS
ON
Y
.
.
.
.
.
.84
12.4
COMPLEMENTS
.
85
12.5
CHARACTERISTIC
0
.
85
V.
CHARACTERISTIC
0
THEORY
87
13.
CORRESPONDENCE
BETWEEN
GROUPS
AND
LIE
ALGEBRAS
.
87
13.1
THE
LATTICE
CORRESPONDENCE
.
87
13.2
INVARIANTS
AND
INVARIANT
SUBSPACES
.
88
13.3
NORMAL
SUBGROUPS
AND
IDEALS
.
88
13.4
CENTERS
AND
CENTRALIZERS
.
89
13.5
SEMISIMPLE
GROUPS
AND
LIE
ALGEBRAS
.
.
89
14.
SEMISIMPLE
GROUPS
.
90
14.1
THE
ADJOINT
REPRESENTATION
.
90
14.2
SUBGROUPS
OF
A
SEMISIMPLE
GROUP
.
91
14.3
COMPLETE
REDUCIBILITY
OF
REPRESENTATIONS
.
92
VI.
SEMISIMPLE
AND
UNIPOTENT
ELEMENTS
95
15.
JORDAN-CHEVALLEY
DECOMPOSITION
.
95
15.1
DECOMPOSITION
OF
A
SINGLE
ENDOMORPHISM
.
.
.
95
15.2
GL(,
K)
AND
GL(N,
K)
.
97
15.3
JORDAN
DECOMPOSITION
IN
ALGEBRAIC
GROUPS
.
.
98
15.4
COMMUTING
SETS
OF
ENDOMORPHISMS
.
99
15.5
STRUCTURE
OF
COMMUTATIVE
ALGEBRAIC
GROUPS
100
16.
DIAGONALIZABLE
GROUPS
.
101
16.1
CHARACTERS
AND
D-GROUPS
.
101
16.2
TORI
.
103
16.3
RIGIDITY
OF
DIAGONALIZABLE
GROUPS
.
.
.105
16.4
WEIGHTS
AND
ROOTS
.
.
.
.
.
.106
VII.
SOLVABLE
GROUPS
109
17.
NILPOTENT
AND
SOLVABLE
GROUPS
.
109
17.1
A
GROUP-THEORETIC
LEMMA
.
.
.109
17.2
COMMUTATOR
GROUPS
.
110
17.3
SOLVABLE
GROUPS
.
110
17.4
NILPOTENT
GROUPS
.
.
.
.
.
.ILL
17.5
UNIPOTENT
GROUPS
.
.
.
.
.112
17.6
LIE-KOLCHIN
THEOREM
.
.
.
.
.
.113
XIV
TABLE
OF
CONTENTS
18.
SEMISIMPLE
ELEMENTS
.
.
.
.
.
.
.
.115
18.1
GLOBAL
AND
INFINITESIMAL
CENTRALIZERS
.
.
.
116
18.2
CLOSED
CONJUGACY
CLASSES
.
.
.
.
.
.117
18.3
ACTION
OF
A
SEMISIMPLE
ELEMENT
ON
A
UNIPOTENT
GROUP
118
18.4
ACTION
OF
A
DIAGONALIZABLE
GROUP
.
.
119
19.
CONNECTED
SOLVABLE
GROUPS
.
121
19.1
AN
EXACT
SEQUENCE
.
.
.
.
.
.
.122
19.2
THE
NILPOTENT
CASE
.
.
.
.
.122
19.3
THE
GENERAL
CASE
.
123
19.4
NORMALIZER
AND
CENTRALIZER
.
124
19.5
SOLVABLE
AND
UNIPOTENT
RADICALS
.
.
.125
20.
ONE
DIMENSIONAL
GROUPS
.
126
20.1
COMMUTATIVITY
OF
G
.
126
20.2
VECTOR
GROUPS
AND
E-GROUPS
.
127
20.3
PROPERTIES
OF
/^-POLYNOMIALS
.
.
.
.
.128
20.4
AUTOMORPHISMS
OF
VECTOR
GROUPS
.
.
.130
20.5
THE
MAIN
THEOREM
.
.
.
.
.131
VIII.
BOREL
SUBGROUPS
133
21.
FIXED
POINT
AND
CONJUGACY
THEOREMS
.
.
.
.
.133
21.1
REVIEW
OF
COMPLETE
VARIETIES
.
.
.
.
.133
21.2
FIXED
POINT
THEOREM
.
.134
21.3
CONJUGACY
OF
BOREL
SUBGROUPS
AND
MAXIMAL
TORI
.
134
21.4
FURTHER
CONSEQUENCES
.
136
22.
DENSITY
AND
CONNECTEDNESS
THEOREMS
.
138
22.1
THE
MAIN
LEMMA
.
138
22.2
DENSITY
THEOREM
.
.
.
.
.139
22.3
CONNECTEDNESS
THEOREM
.
140
22.4
BOREL
SUBGROUPS
OF
C
G
(S)
.
141
22.5
CARTAN
SUBGROUPS
:
SUMMARY
.
142
23.
NORMALIZER
THEOREM
.
.
.
.
.
.143
23.1
STATEMENT
OF
THE
THEOREM
.
143
23.2
PROOF
OF
THE
THEOREM
.
144
23.3
THE
VARIETY
G/5
.
145
23.4
SUMMARY
.
145
IX.
CENTRALIZERS
OF
TORI
147
24.
REGULAR
AND
SINGULAR
TORI
.
.
.
.
.147
24.1
WEYL
GROUPS
.
147
24.2
REGULAR
TORI
.
149
24.3
SINGULAR
TORI
AND
ROOTS
.
149
24.4
REGULAR
1
-PARAMETER
SUBGROUPS
.150
TABLE
OF
CONTENTS
XV
25.
ACTION
OF
A
MAXIMAL
TORUS
ON
GFB
.
151
25.1
ACTION
OF
A
1
-PARAMETER
SUBGROUP
.
.
.152
25.2
EXISTENCE
OF
ENOUGH
FIXED
POINTS
.
.
.
.153
25.3
GROUPS
OF
SEMISIMPLE
RANK
1
.
.
.
.
.154
25.4
WEYL
CHAMBERS
.
156
26.
THE
UNIPOTENT
RADICAL
.
.
.
.
.
.157
26.1
CHARACTERIZATION
OF
R
U
(G)
.
158
26.2
SOME
CONSEQUENCES
.
.
.
.
.
.159
26.3
THE
GROUPS
UYY
.
160
X.
STRUCTURE
OF
REDUCTIVE
GROUPS
163
27.
THE
ROOT
SYSTEM
.
.
.
.
.163
27.1
ABSTRACT
ROOT
SYSTEMS
.
163
27.2
THE
INTEGRALITY
AXIOM
.
164
27.3
SIMPLE
ROOTS
.
165
27.4
THE
AUTOMORPHISM
GROUP
OF
A
SEMISIMPLE
GROUP
.
166
27.5
SIMPLE
COMPONENTS
.
.
.
.
.
.167
28.
BRUHAT
DECOMPOSITION
.
169
28.1
T-STABLE
SUBGROUPS
OF
B
U
.
169
28.2
GROUPS
OF
SEMISIMPLE
RANK
1
.
171
28.3
THE
BRUHAT
DECOMPOSITION
.
.
.172
28.4
NORMAL
FORM
IN
G
.
173
28.5
COMPLEMENTS
.
173
29.
TITS
SYSTEMS
.
175
29.1
AXIOMS
.
176
29.2
BRUHAT
DECOMPOSITION
.
177
29.3
PARABOLIC
SUBGROUPS
.
177
29.4
GENERATORS
AND
RELATIONS
FOR
IF
.
.
.179
29.5
NORMAL
SUBGROUPS
OF
G
.
181
30.
PARABOLIC
SUBGROUPS
.
183
30.1
STANDARD
PARABOLIC
SUBGROUPS
.
.
.
.
.183
30.2
LEVI
DECOMPOSITIONS
.
184
30.3
PARABOLIC
SUBGROUPS
ASSOCIATED
TO
CERTAIN
UNIPOTENT
GROUPS
.
185
30.4
MAXIMAL
SUBGROUPS
AND
MAXIMAL
UNIPOTENT
SUBGROUPS
187
XI.
REPRESENTATIONS
AND
CLASSIFICATION
OF
SEMISIMPLE
GROUPS
188
31.
REPRESENTATIONS
.
.
.
.
.
.188
31.1
WEIGHTS
.
188
31.2
MAXIMAL
VECTORS
.
189
31.3
IRREDUCIBLE
REPRESENTATIONS
.190
31.4
CONSTRUCTION
OF
IRREDUCIBLE
REPRESENTATIONS
.
.
191
XVI
TABLE
OF
CONTENTS
31.5
MULTIPLICITIES
AND
MINIMAL
HIGHEST
WEIGHTS
.
.
193
31.6
CONTRAGREDIENTS
AND
INVARIANT
BILINEAR
FORMS
.
.
193
32.
ISOMORPHISM
THEOREM
.
195
32.1
THE
CLASSIFICATION
PROBLEM
.
195
32.2
EXTENSION
OF
P
T
TO
N(T)
.
198
32.3
EXTENSION
OF
P
T
TO
Z
A
.
199
32.4
EXTENSION
OF
P
T
TO
TU
A
.
201
32.5
EXTENSION
OF
(P
T
TO
B
.
203
32.6
MULTIPLICATIVITY
OF
.
204
33.
ROOT
SYSTEMS
OF
RANK
2
.
207
33.1
REFORMULATION
OF
(A),
(B),
(C)
.
207
33.2
SOME
PRELIMINARIES
.
208
33.3
TYPE
A
2
.
209
33.4
TYPE
B
2
.
211
33.5
TYPEG
2
.
212
33.6
THE
EXISTENCE
PROBLEM
.
215
XII.
SURVEY
OF
RATIONALITY
PROPERTIES
217
34.
FIELDS
OF
DEFINITION
.
.
.
.
.
.
.217
34.1
FOUNDATIONS
.
217
34.2
REVIEW
OF
EARLIER
CHAPTERS
.
218
34.3
TORI
YY
.
219
34.4
SOME
BASIC
THEOREMS
.
219
34.5
BOREL-TITS
STRUCTURE
THEORY
.
220
34.6
AN
EXAMPLE:
ORTHOGONAL
GROUPS
.
.
.
.221
35.
SPECIAL
CASES
.
222
35.1
SPLIT
AND
QUASISPLIT
GROUPS
.
223
35.2
FINITE
FIELDS
.
224
35.3
THE
REAL
FIELD
.
224
35.4
LOCAL
FIELDS
.
225
35.5
CLASSIFICATION
.
226
APPENDIX.
ROOT
SYSTEMS
.
229
BIBLIOGRAPHY
.
233
INDEX
OF
TERMINOLOGY
.
247
INDEX
OF
SYMBOLS
.
251 |
| any_adam_object | 1 |
| author | Humphreys, James E. 1939-2020 |
| author_GND | (DE-588)108120848 |
| author_facet | Humphreys, James E. 1939-2020 |
| author_role | aut |
| author_sort | Humphreys, James E. 1939-2020 |
| author_variant | j e h je jeh |
| building | Verbundindex |
| bvnumber | BV010387552 |
| callnumber-first | Q - Science |
| callnumber-label | QA179 |
| callnumber-raw | QA179 |
| callnumber-search | QA179 |
| callnumber-sort | QA 3179 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | QH 140 SK 240 SK 260 |
| classification_tum | MAT 204f |
| ctrlnum | (OCoLC)7718938 (DE-599)BVBBV010387552 |
| dewey-full | 512/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.2 |
| dewey-search | 512/.2 |
| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | (Corr. 4. printing) |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV010387552</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19970123</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">950911s1995 gw |||| 00||| ger d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">945214375</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540901086</subfield><subfield code="c">(Berlin ...) Pp.</subfield><subfield code="9">3-540-90108-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387901086</subfield><subfield code="c">(New York ...) Pp.</subfield><subfield code="9">0-387-90108-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)7718938</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010387552</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">ger</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA179</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.2</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">QH 140</subfield><subfield code="0">(DE-625)141533:</subfield><subfield code="2">rvk</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">MAT 204f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Humphreys, James E.</subfield><subfield code="d">1939-2020</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)108120848</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Linear algebraic groups</subfield><subfield code="c">James E. Humphreys</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">(Corr. 4. printing)</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York ; Berlin ; Heidelberg ; London ; Paris ; Tokyo ; Hong K</subfield><subfield code="b">Springer</subfield><subfield code="c">1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVI, 253 S.</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="0" ind2=" "><subfield code="a">Graduate texts in mathematics</subfield><subfield code="v">21</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 233 - 245</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Linear algebraic groups</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lineare Gruppe</subfield><subfield code="0">(DE-588)4138778-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lineare algebraische Gruppe</subfield><subfield code="0">(DE-588)4295326-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lie-Algebra</subfield><subfield code="0">(DE-588)4130355-6</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">Lineare algebraische Gruppe</subfield><subfield code="0">(DE-588)4295326-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Algebraische Gruppe</subfield><subfield code="0">(DE-588)4001164-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Lie-Algebra</subfield><subfield code="0">(DE-588)4130355-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Lineare Gruppe</subfield><subfield code="0">(DE-588)4138778-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB 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=006916508&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">3\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-006916508</subfield></datafield></record></collection> |
| id | DE-604.BV010387552 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-14T01:19:03Z |
| institution | BVB |
| isbn | 3540901086 0387901086 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006916508 |
| oclc_num | 7718938 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-11 |
| owner_facet | DE-91 DE-BY-TUM DE-11 |
| physical | XVI, 253 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer |
| record_format | marc |
| series2 | Graduate texts in mathematics |
| spelling | Humphreys, James E. 1939-2020 Verfasser (DE-588)108120848 aut Linear algebraic groups James E. Humphreys (Corr. 4. printing) New York ; Berlin ; Heidelberg ; London ; Paris ; Tokyo ; Hong K Springer 1995 XVI, 253 S. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 21 Literaturverz. S. 233 - 245 Linear algebraic groups Lineare Gruppe (DE-588)4138778-8 gnd rswk-swf Lineare algebraische Gruppe (DE-588)4295326-1 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Algebraische Gruppe (DE-588)4001164-1 gnd rswk-swf Lineare algebraische Gruppe (DE-588)4295326-1 s DE-604 Algebraische Gruppe (DE-588)4001164-1 s 1\p DE-604 Lie-Algebra (DE-588)4130355-6 s 2\p DE-604 Lineare Gruppe (DE-588)4138778-8 s 3\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006916508&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Humphreys, James E. 1939-2020 Linear algebraic groups Linear algebraic groups Lineare Gruppe (DE-588)4138778-8 gnd Lineare algebraische Gruppe (DE-588)4295326-1 gnd Lie-Algebra (DE-588)4130355-6 gnd Algebraische Gruppe (DE-588)4001164-1 gnd |
| subject_GND | (DE-588)4138778-8 (DE-588)4295326-1 (DE-588)4130355-6 (DE-588)4001164-1 |
| title | Linear algebraic groups |
| title_auth | Linear algebraic groups |
| title_exact_search | Linear algebraic groups |
| title_full | Linear algebraic groups James E. Humphreys |
| title_fullStr | Linear algebraic groups James E. Humphreys |
| title_full_unstemmed | Linear algebraic groups James E. Humphreys |
| title_short | Linear algebraic groups |
| title_sort | linear algebraic groups |
| topic | Linear algebraic groups Lineare Gruppe (DE-588)4138778-8 gnd Lineare algebraische Gruppe (DE-588)4295326-1 gnd Lie-Algebra (DE-588)4130355-6 gnd Algebraische Gruppe (DE-588)4001164-1 gnd |
| topic_facet | Linear algebraic groups Lineare Gruppe Lineare algebraische Gruppe Lie-Algebra Algebraische Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006916508&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT humphreysjamese linearalgebraicgroups |