Differential Geometry, Lie Groups, and Symmetric Spaces / (Record no. 13595)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 03504cam a2200277 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | vtls000001771 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | VRT |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250102223852.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 081109r20011978riua |b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0821828487 (alk. paper) |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] | |
| Level of rules in bibliographic description | 201402040056 |
| Level of effort used to assign nonsubject heading access points | VLOAD |
| Level of effort used to assign subject headings | 201004131126 |
| Level of effort used to assign classification | malmash |
| Level of effort used to assign subject headings | 200811101322 |
| Level of effort used to assign classification | venkatrajand |
| Level of effort used to assign subject headings | 200811091403 |
| Level of effort used to assign classification | Noora |
| -- | 200811091402 |
| -- | Noora |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA641 |
| Item number | .H464 2001 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Helgason, Sigurdur, |
| Dates associated with a name | 1927- |
| 9 (RLIN) | 31580 |
| 245 10 - TITLE STATEMENT | |
| Title | Differential Geometry, Lie Groups, and Symmetric Spaces / |
| Statement of responsibility, etc. | Sigurdur Helgason. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Providence, R.I. : |
| Name of publisher, distributor, etc. | American Mathematical Society, |
| Date of publication, distribution, etc. | 2001. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xxvi, 640 p. : |
| Other physical details | ill. ; |
| Dimensions | 26 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Graduate studies in mathematics, |
| International Standard Serial Number | 1065-7339 ; |
| Volume/sequential designation | v. 34 |
| 9 (RLIN) | 10389 |
| 500 ## - GENERAL NOTE | |
| General note | Originally published: New York : Academic Press, 1978, in series: Pure and applied mathematics (Academic Press) ; 80. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (p. 599-628) and index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Elementary differential geometry Lie groups and Lie algebras Structure of semisimple Lie algebras Symmetric spaces Decomposition of symmetric spaces Symmetric spaces of the noncompact type Symmetric spaces of the compact type Hermitian symmetric spaces Structure of semisimple Lie groups The classification of simple Lie algebras and of symmetric spaces Solutions to exercises Some details Bibliography List of notational conventions Symbols frequently used Index Reviews for the first edition. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | From reviews for the First Edition: 'A great book...a necessary item in any mathematical library' - S. S. Chern. The study of homogeneous spaces provides excellent insights into both differential geometry and Lie groups. In geometry, for instance, general theorems and properties will also hold for homogeneous spaces, and will usually be easier to understand and to prove in this setting. For Lie groups, a significant amount of analysis either begins with or reduces to analysis on homogeneous spaces, frequently on symmetric spaces. For many years and for many mathematicians, Sigurdur Helgason's classic Differential Geometry, Lie Groups, and Symmetric Spaces has been - and continues to be - the standard source for this material. Helgason begins with a concise, self-contained introduction to differential geometry. He then introduces Lie groups and Lie algebras, including important results on their structure.This sets the stage for the introduction and study of symmetric spaces, which form the central part of the book. The text concludes with the classification of symmetric spaces by means of the Killing-Cartan classification of simple Lie algebras over mathbf{C} a nd Cartan's classification of simple Lie algebras over mathbf{R} The excellent exposition is supplemented by extensive collections of useful exercises at the end of each chapter. All the problems have either solutions or substantial hints, found at the back of the book. For this latest edition, Helgason has made corrections and added helpful notes and useful references. The sequels to the present book are published in the AMS' Mathematical Surveys and Monographs Series: Groups and Geometric Analysis, Volume 83, and Geometric Analysis on Symmetric Spaces, Volume 39. Sigurdur Helgason was awarded the Steele Prize for Differential Geometry, Lie Groups, and Symmetric Spaces and Groups and Geometric Analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Geometry, Differential. |
| 9 (RLIN) | 904 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Lie groups. |
| 9 (RLIN) | 10130 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Symmetric spaces. |
| 9 (RLIN) | 31581 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Library of Congress Classification |
| Suppress in OPAC | No |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Total checkouts | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Library of Congress Classification | Library | Library | First Floor | 21/12/2024 | QA641 .H464 2001 | 8863 | 21/12/2024 | 2 | 21/12/2024 | Books |