Lie groups, Lie algebras, and representations (notice n° 12974)
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| fixed length control field | 06494cam a22011894a 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocm52377660 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | IMIST |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20170418113957.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 030602s2003 nyua b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2003054237 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0387401229 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780387401225 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DLC |
| Language of cataloging | eng |
| Transcribing agency | DLC |
| Modifying agency | YDX |
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| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.55 |
| Edition number | 22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Hall, Brian C. |
| 9 (RLIN) | 2454 |
| 245 10 - TITLE STATEMENT | |
| Title | Lie groups, Lie algebras, and representations |
| Remainder of title | an elementary introduction |
| Statement of responsibility, etc | Brian C. Hall. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | New York |
| Name of publisher, distributor, etc | Springer |
| Date of publication, distribution, etc | ©2003. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiv, 351 pages |
| Other physical details | illustrations |
| Dimensions | 25 cm. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | unmediated |
| Media Type Code | n |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | volume |
| Carrier Type Code | nc |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Graduate texts in mathematics ; |
| Volume number/sequential designation | 222 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (pages 345-346) and index. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Part 1. General theory. -- Matrix lie groups -- Lie algebras and the exponential mapping -- The Baker-Campbell-Hausdorff formula -- Basic representation theory -- Part 2. Semisimple theory. -- The representations of SU (3) -- Semisimple lie algebras -- Representations of complex semisimple lie algebras -- More on roots and weights -- A quick introduction to groups -- Linear algebra review -- More on lie groups -- Clebsch-Gordan theory for SU(2) and the Wigner-Eckart theorem -- Computing fundamental groups of matrix lie groups. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | "Lie groups, Lie algebras, and representation theory are the main focus of this text. In order to keep the prerequisites to a minimum, the author restricts attention to matrix Lie groups and Lie algebras. This approach keeps the discussion concrete, allows the reader to get to the heart of the subject quickly, and covers all of the most interesting examples. The book also introduces the often-intimidating machinery of roots and the Weyl group in a gradual way, using examples and representation theory as motivation. The text is divided into two parts. The first covers Lie groups and Lie algebras and the relationship between them, along with basic representation theory. The second part covers the theory of semisimple Lie groups and Lie algebras, beginning with a detailed analysis of the representations of SU(3). The author illustrates the general theory with numerous images pertaining to Lie algebras of rank two and rank three, including images of root systems, lattices of dominant integral weights, and weight diagrams. This book is sure to become a standard textbook for graduate students in mathematics and physics with little or no prior exposure to Lie theory. Brian Hall is an Associate Professor of Mathematics at the University of Notre Dame."--Publisher's website. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie groups. |
| 9 (RLIN) | 2204 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie algebras. |
| 9 (RLIN) | 2204 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Representations of Lie groups. |
| 9 (RLIN) | 6365 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Representations of Lie algebras. |
| 9 (RLIN) | 6366 |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algèbre de Lie. |
| 9 (RLIN) | 6367 |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Associatieve ringen. |
| 9 (RLIN) | 6368 |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Groupe de Lie. |
| 9 (RLIN) | 3439 |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Grupos de lie. |
| 9 (RLIN) | 5117 |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie-algebra's. |
| 9 (RLIN) | 6369 |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie-groepen. |
| 9 (RLIN) | 6370 |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Representatie (wiskunde) |
| 9 (RLIN) | 6371 |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Représentation d'algèbres. |
| 9 (RLIN) | 6372 |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Représentation de groupes. |
| 9 (RLIN) | 6373 |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Teoria das representações. |
| 9 (RLIN) | 2766 |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Álgebra. |
| 9 (RLIN) | 6374 |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Álgebras de lie. |
| 9 (RLIN) | 1925 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie, Groupes de. |
| 9 (RLIN) | 2204 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie, Algèbres de. |
| 9 (RLIN) | 2204 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Représentations de groupes. |
| 9 (RLIN) | 6375 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Représentations d'algèbres. |
| 9 (RLIN) | 6376 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie algebras. |
| Source of heading or term | fast |
| 9 (RLIN) | 2204 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie groups. |
| Source of heading or term | fast |
| 9 (RLIN) | 2204 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Representations of Lie algebras. |
| Source of heading or term | fast |
| 9 (RLIN) | 6366 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Representations of Lie groups. |
| Source of heading or term | fast |
| 9 (RLIN) | 6365 |
| 650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie-groepen. |
| Source of heading or term | gtt |
| 9 (RLIN) | 6370 |
| 650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie-algebra's. |
| Source of heading or term | gtt |
| 9 (RLIN) | 6369 |
| 650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Representatie (wiskunde) |
| Source of heading or term | gtt |
| 9 (RLIN) | 6371 |
| 650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Associatieve ringen. |
| Source of heading or term | gtt |
| 9 (RLIN) | 6368 |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Darstellungstheorie. |
| Source of heading or term | gnd |
| 9 (RLIN) | 6377 |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie-Algebra. |
| Source of heading or term | gnd |
| 9 (RLIN) | 6378 |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie-Gruppe. |
| Source of heading or term | gnd |
| 9 (RLIN) | 6379 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Grupos de lie. |
| Source of heading or term | larpcal |
| 9 (RLIN) | 5117 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Álgebra. |
| Source of heading or term | larpcal |
| 9 (RLIN) | 6374 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Álgebras de lie. |
| Source of heading or term | larpcal |
| 9 (RLIN) | 1925 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Teoria das representações. |
| Source of heading or term | larpcal |
| 9 (RLIN) | 2766 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Groupe de Lie. |
| Source of heading or term | rasuqam |
| 9 (RLIN) | 3439 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algèbre de Lie. |
| Source of heading or term | rasuqam |
| 9 (RLIN) | 6367 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Représentation de groupes. |
| Source of heading or term | rasuqam |
| 9 (RLIN) | 6373 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Représentation d'algèbres. |
| Source of heading or term | rasuqam |
| 9 (RLIN) | 6372 |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie-Gruppe. |
| Source of heading or term | swd |
| 9 (RLIN) | 6379 |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie-Algebra. |
| Source of heading or term | swd |
| 9 (RLIN) | 6378 |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Darstellungstheorie. |
| Source of heading or term | swd |
| 9 (RLIN) | 6377 |
| 856 41 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | MyiLibrary |
| Uniform Resource Identifier | <a href="http://www.myilibrary.com?id=18965">http://www.myilibrary.com?id=18965</a> |
| 856 41 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Table of contents |
| Uniform Resource Identifier | <a href="http://catdir.loc.gov/catdir/enhancements/fy0813/2003054237-t.html">http://catdir.loc.gov/catdir/enhancements/fy0813/2003054237-t.html</a> |
| 856 41 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Table of contents |
| Uniform Resource Identifier | <a href="http://www.gbv.de/dms/goettingen/369363191.pdf">http://www.gbv.de/dms/goettingen/369363191.pdf</a> |
| Public note | Kostenfrei |
| 856 42 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Publisher description |
| Uniform Resource Identifier | <a href="http://catdir.loc.gov/catdir/enhancements/fy0813/2003054237-d.html">http://catdir.loc.gov/catdir/enhancements/fy0813/2003054237-d.html</a> |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Cover |
| Uniform Resource Identifier | <a href="http://swbplus.bsz-bw.de/bsz106785133cov.htm">http://swbplus.bsz-bw.de/bsz106785133cov.htm</a> |
| Hours access method available | 20150429162902 |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
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| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | |
| Item type | Livre |
| Withdrawn status | Lost status | Damaged status | Not for loan | Permanent location | Current location | Date acquired | Inventory number | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type | Source of classification or shelving scheme |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| La bibliothèque des Sciences Exactes et Naturelles | La bibliothèque des Sciences Exactes et Naturelles | 11747 | 512.55 HAL | 0000000013279 | 11/23/2016 | 11/23/2016 | Livre | |||||||
| La bibliothèque des Sciences Exactes et Naturelles | La bibliothèque des Sciences Exactes et Naturelles | 04/18/2017 | 23701 | 512.55 HAL | 0000000025885 | 04/18/2017 | 04/18/2017 | Livre |