Lie algebras (Record no. 21755)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03406cam a2200517Ia 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocn162130917 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20141103172224.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cn||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 070802s2000 ne ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | |
| Language of cataloging | eng |
| Transcribing agency | OPELS |
| Modifying agency | OPELS |
| -- | OCLCQ |
| -- | OCLCF |
| -- | DEBBG |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780444501165 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0444501169 |
| 029 1# - (OCLC) | |
| OCLC library identifier | NZ1 |
| System control number | 12432961 |
| 029 1# - (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000048130055 |
| 029 1# - (OCLC) | |
| OCLC library identifier | NZ1 |
| System control number | 15192842 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV036962266 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)162130917 |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 122749:127728 |
| Source of stock number/acquisition | Elsevier Science & Technology |
| Note | http://www.sciencedirect.com |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA252.3 |
| Item number | .D4 2000eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | QA |
| Source | lcco |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512/.55 |
| Edition number | 22 |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | TEFA |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | De Graaf, Willem A. |
| 245 10 - TITLE STATEMENT | |
| Title | Lie algebras |
| Medium | [electronic resource] : |
| Remainder of title | theory and algorithms / |
| Statement of responsibility, etc. | Willem A. de Graaf. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Amsterdam ; |
| -- | New York : |
| Name of publisher, distributor, etc. | Elsevier, |
| Date of publication, distribution, etc. | 2000. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xii, 393 p.) |
| 490 1# - SERIES STATEMENT | |
| Series statement | North-Holland mathematical library ; |
| Volume/sequential designation | v. 56 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | The aim of the present work is two-fold. Firstly it aims at a giving an account of many existing algorithms for calculating with finite-dimensional Lie algebras. Secondly, the book provides an introduction into the theory of finite-dimensional Lie algebras. These two subject areas are intimately related. First of all, the algorithmic perspective often invites a different approach to the theoretical material than the one taken in various other monographs (e.g., [42], [48], [77], [86]). Indeed, on various occasions the knowledge of certain algorithms allows us to obtain a straightforward proof of theoretical results (we mention the proof of the Poincar�e-Birkhoff-Witt theorem and the proof of Iwasawa's theorem as examples). Also proofs that contain algorithmic constructions are explicitly formulated as algorithms (an example is the isomorphism theorem for semisimple Lie algebras that constructs an isomorphism in case it exists). Secondly, the algorithms can be used to arrive at a better understanding of the theory. Performing the algorithms in concrete examples, calculating with the concepts involved, really brings the theory of life. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Basic constructions. On nilpotency and colvability. Cartan subalgebras. Lie algebras with non-degenerate Killing form. The classification of the simple Lie algebras. Universal enveloping algebras. Finitely presented Lie algebras. Representations of semisimple Lie algebras. On associative algebras. Bibliography. Index of Symbols. Index of Terminology. Index of Algorithms. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (p. [379]-386) and index. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on print version record. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie algebras. |
| 650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie-algebra's. |
| Source of heading or term | gtt |
| 650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algoritmen. |
| Source of heading or term | gtt |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lie algebras. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00998125 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | De Graaf, Willem A. |
| Title | Lie algebras. |
| Edition | 1st ed. |
| Place, publisher, and date of publication | Amsterdam ; New York : Elsevier, 2000 |
| International Standard Book Number | 0444501169 |
| -- | 9780444501165 |
| Record control number | (DLC) 99086891 |
| -- | (OCoLC)43114263 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | North-Holland mathematical library ; |
| Volume number/sequential designation | v. 56. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | ScienceDirect |
| Uniform Resource Identifier | <a href="http://www.sciencedirect.com/science/book/9780444501165">http://www.sciencedirect.com/science/book/9780444501165</a> |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://www.sciencedirect.com/science/publication?issn=09246509&volume=56">http://www.sciencedirect.com/science/publication?issn=09246509&volume=56</a> |
| Materials specified | Volltext |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E(electronic)-Books |
| 994 ## - | |
| -- | C0 |
| -- | TEF |
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