MARC details
000 -LEADER |
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03961nam a22004935i 4500 |
001 - CONTROL NUMBER |
control field |
978-1-4684-9443-3 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20210602114659.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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121227s1975 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781468494433 |
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978-1-4684-9443-3 |
024 7# - OTHER STANDARD IDENTIFIER |
Standard number or code |
10.1007/978-1-4684-9443-3 |
Source of number or code |
doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA174-183 |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBG |
Source |
bicssc |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT002010 |
Source |
bisacsh |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBG |
Source |
thema |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.2 |
Edition number |
23 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Humphreys, James E. |
Relator term |
author. |
Relator code |
aut |
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http://id.loc.gov/vocabulary/relators/aut |
245 10 - TITLE STATEMENT |
Title |
Linear Algebraic Groups |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by James E. Humphreys. |
250 ## - EDITION STATEMENT |
Edition statement |
1st ed. 1975. |
264 #1 - |
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New York, NY : |
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Springer New York : |
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Imprint: Springer, |
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1975. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XVI, 248 p. |
Other physical details |
online resource. |
336 ## - |
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text |
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txt |
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rdacontent |
337 ## - |
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computer |
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rdamedia |
338 ## - |
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online resource |
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cr |
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rdacarrier |
347 ## - |
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text file |
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PDF |
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rda |
490 1# - SERIES STATEMENT |
Series statement |
Graduate Texts in Mathematics, |
International Standard Serial Number |
0072-5285 ; |
Volume number/sequential designation |
21 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
I. Algebraic Geometry -- 0. Some Commutative Algebra -- 1. Affine and Projective Varieties -- 2. Varieties -- 3. Dimension -- 4. Morphisms -- 5. Tangent Spaces -- 6. Complete Varieties -- II. Affine Algebraic Groups -- 7. Basic Concepts and Examples -- 8. Actions of Algebraic Groups on Varieties -- III. Lie Algebras -- 9. Lie Algebra of an Algebraic Group -- 10. Differentiation -- IV. Homogeneous Spaces -- 11. Construction of Certain Representations -- 12. Quotients -- V. Characteristic 0 Theory -- 13. Correspondence between Groups and Lie Algebras -- 14. Semisimple Groups -- VI. Semisimple and Unipotent Elements -- 15. Jordan-Chevalley Decomposition -- 16. Diagonalizable Groups -- VII. Solvable Groups -- 17. Nilpotent and Solvable Groups -- 18. Semisimple Elements -- 19. Connected Solvable Groups -- 20. One Dimensional Groups -- VIII. Borel Subgroups -- 21. Fixed Point and Conjugacy Theorems -- 22. Density and Connectedness Theorems -- 23. Normalizer Theorem -- IX. Centralizers of Tori -- 24. Regular and Singular Tori -- 25. Action of a Maximal Torus on G/? -- 26. The Unipotent Radical -- X. Structure of Reductive Groups -- 27. The Root System -- 28. Bruhat Decomposition -- 29. Tits Systems -- 30. Parabolic Subgroups -- XI. Representations and Classification of Semisimple Groups -- 31. Representations -- 32. Isomorphism Theorem -- 33. Root Systems of Rank 2 -- XII. Survey of Rationality Properties -- 34. Fields of Definition -- 35. Special Cases -- Appendix. Root Systems -- Index of Terminology -- Index of Symbols. |
520 ## - SUMMARY, ETC. |
Summary, etc |
James E. Humphreys is presently Professor of Mathematics at the University of Massachusetts at Amherst. Before this, he held the posts of Assistant Professor of Mathematics at the University of Oregon and Associate Professor of Mathematics at New York University. His main research interests include group theory and Lie algebras. He graduated from Oberlin College in 1961. He did graduate work in philosophy and mathematics at Cornell University and later received hi Ph.D. from Yale University if 1966. In 1972, Springer-Verlag published his first book, "Introduction to Lie Algebras and Representation Theory" (graduate Texts in Mathematics Vol. 9). |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Group theory. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Group Theory and Generalizations. |
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https://scigraph.springernature.com/ontologies/product-market-codes/M11078 |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer Nature eBook |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9781468494457 |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9780387901084 |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9781468494440 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Graduate Texts in Mathematics, |
-- |
0072-5285 ; |
Volume number/sequential designation |
21 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
<a href="https://doi.org/10.1007/978-1-4684-9443-3">https://doi.org/10.1007/978-1-4684-9443-3</a> |
912 ## - |
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ZDB-2-SMA |
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ZDB-2-SXMS |
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ZDB-2-BAE |