MARC ayrıntıları
| 000 -LEADER |
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| fixed length control field |
03782nam a2200349 i 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
001107r1987 gw b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
00053835 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
3540678271 |
| Qualifying information |
alk. paper |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
DLC |
| Transcribing agency |
DLC |
| Modifying agency |
OHX |
| -- |
C#P |
| -- |
CIN |
| -- |
BAUN |
| 041 1# - LANGUAGE CODE |
|---|
| Language code of text/sound track or separate title |
eng |
| Language code of original and/or intermediate translations of text |
fre |
| 049 ## - LOCAL HOLDINGS (OCLC) |
|---|
| Holding library |
BAUN_MERKEZ |
| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA252.3 |
| Item number |
.S48 1987 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Edition number |
21 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Serre, Jean Pierre |
| 240 10 - UNIFORM TITLE |
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| Uniform title |
Algèbres de Lie semi-simples complexes. |
| Language of a work |
English |
| 245 10 - TITLE STATEMENT |
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| Title |
Complex semisimple Lie algebras / |
| Statement of responsibility, etc |
Jean-Pierre Serre ; translated from the French by G.A. Jones |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Berlin ; |
| -- |
New York : |
| Name of producer, publisher, distributor, manufacturer |
Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2001] |
|
|---|
| Date of production, publication, distribution, manufacture, or copyright notice |
©2001 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
ix, 74 pages ; |
| Dimensions |
24 cm |
| 336 ## - CONTENT TYPE |
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| Content Type Term |
text |
| Content Type Code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media Type Term |
unmediated |
| Media Type Code |
unmediated |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier Type Term |
volume |
| Carrier Type Code |
volume |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Springer monographs in mathematics, |
| International Standard Serial Number |
1439-7382 |
| 500 ## - GENERAL NOTE |
|---|
| General note |
"Reprint of the 1987 edition." |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references (pages [72]) and index |
| 505 00 - FORMATTED CONTENTS NOTE |
|---|
| Title |
Contents |
| -- |
Ch. I. Nilpotent Lie Algebras and Solvable Lie Algebras. |
| -- |
1. Lower Central Series. |
| -- |
2. Definition of Nilpotent Lie Algebras. |
| -- |
3. An Example of a Nilpotent Algebra. |
| -- |
4. Engel's Theorems. |
| -- |
5. Derived Series. |
| -- |
6. Definition of Solvable Lie Algebras. |
| -- |
7. Lie's Theorem. |
| -- |
8. Cartan's Criterion. |
| -- |
Ch. II. Semisimple Lie Algebras (General Theorems). |
| -- |
1. Radical and Semisimplicity. |
| -- |
2. The Cartan-Killing Criterion. |
| -- |
3. Decomposition of Semisimple Lie Algebras. |
| -- |
4. Derivations of Semisimple Lie Algebras. |
| -- |
5. Semisimple Elements and Nilpotent Elements. |
| -- |
6. Complete Reducibility Theorem. |
| -- |
7. Complex Simple Lie Algebras. |
| -- |
8. The Passage from Real to Complex. |
| -- |
Ch. III. Cartan Subalgebras. |
| -- |
1. Definition of Cartan Subalgebras. |
| -- |
2. Regular Elements: Rank. |
| -- |
3. The Cartan Subalgebra Associated with a Regular Element. |
| -- |
4. Conjugacy of Cartan Subalgebras. |
| -- |
5. The Semisimple Case. |
| -- |
6. Real Lie Algebras. |
| -- |
Ch. IV. The Algebra sl[subscript 2] and Its Representations. |
| -- |
1. The Lie Algebra sl[subscript 2]. |
| -- |
2. Modules, Weights, Primitive Elements. |
| -- |
3. Structure of the Submodule Generated by a Primitive Elements. |
| -- |
4. The Modules W. |
| -- |
5. Structure of the Finite-Dimensional g-Modules. |
| -- |
6. Topological Properties of the Group SL[subscript 2]. |
| -- |
7. Applications. |
| -- |
Ch. V. Root Systems. |
| -- |
1. Symmetries. |
| -- |
2. Definition of Root Systems. |
| -- |
3. First Examples. |
| -- |
4. The Weyl Group. |
| -- |
5. Invariant Quadratic Forms. |
| -- |
6. Inverse Systems. |
| -- |
7. Relative Position of Two Roots. |
| -- |
8. Bases. |
| -- |
9. Some Properties of Bases. |
| -- |
10. Relations with the Weyl Group. |
| -- |
11. The Cartan Matrix. |
| -- |
12. The Coxeter Graph. |
| -- |
13. Irreducible Root Systems. |
| -- |
14. Classification of Connected Coxeter Graphs. |
| -- |
15. Dynkin Diagrams. |
| -- |
16. Construction of Irreducible Root Systems. |
| -- |
17. Complex Root Systems. |
| -- |
Ch. VI. Structure of Semisimple Lie Algebras. |
| -- |
1. Decomposition of g. |
| -- |
2. Proof of Theorem 2. |
| -- |
3. Borel Subalgebras. |
| -- |
4. Weyl Bases. |
| -- |
5. Existence and Uniqueness Theorems. |
| -- |
6. Chevalley's Normalization. Appendix. Construction of Semisimple Lie Algebras by Generators and Relations. |
| -- |
Ch. VII. Linear Representations of Semisimple Lie Algebras. |
| -- |
1. Weights. |
| -- |
2. Primitive Elements. |
| -- |
3. Irreducible Modules with a Highest Weight. |
| -- |
4. Finite-Dimensional Modules. |
| -- |
5. An Application to the Weyl Group. |
| -- |
6. Examples: sl[subscript n+1]. |
| -- |
7. Characters. |
| -- |
8. H. Weyl's formula. |
| -- |
Ch. VIII. Complex Group and Compact Groups. |
| -- |
1. Cartan Subgroups. |
| -- |
2. Characters. |
| -- |
3. Relations with Representations. |
| -- |
4. Borel Subgroups. |
| -- |
5. Construction of Irreducible Representations from Borel Subgroups. |
| -- |
6. Relations with Algebraic Groups. |
| -- |
7. Relations with Compact Groups. |
| -- |
Bibliography. |
| -- |
Index. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Lie algebras |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| 9 (RLIN) |
78475 |
| Uniform title |
Springer monographs in mathematics, |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| -- |
1439-7382 |
| 900 ## - EQUIVALENCE OR CROSS-REFERENCE-PERSONAL NAME [LOCAL, CANADA] |
|---|
| Personal Name |
19970 |
|
|---|
| Numeration |
Satın |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Koha item type |
Kitap |
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