Lie algebras : (notice n° 12969)
000 -LEADER | |
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fixed length control field | 02337cam a2200301' 4500 |
001 - CONTROL NUMBER | |
control field | UNI0004257 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20161123125749.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 140806s2000 ne b 001 eng |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780444501165 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 0444501169 |
040 ## - CATALOGING SOURCE | |
Modifying agency | IMIST |
Description conventions | rda |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | OPELS |
Description conventions | rda |
041 1# - LANGUAGE CODE | |
Language code of text/sound track or separate title | eng |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA252.3 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 512/.55 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | De Graaf,, Willem A. |
245 #0 - TITLE STATEMENT | |
Title | Lie algebras : |
Remainder of title | theory and algorithms / |
Statement of responsibility, etc | Willem A. de Graaf. |
250 ## - EDITION STATEMENT | |
Edition statement | 1st ed. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 1 online resource (xii, 393 pages) |
490 1# - SERIES STATEMENT | |
Series statement | North-Holland mathematical library ; |
Volume number/sequential designation | v. 56 |
500 ## - GENERAL NOTE | |
General note | 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 Poincaré-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. |
504 ## - BIBLIOGRAPHY, ETC. NOTE | |
Bibliography, etc | Includes bibliographical references (p. [379]-386) and index. |
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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Lie algebras |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Lie-algebra's |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Algoritmen |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Lie algebras |
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 |
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La bibliothèque des Sciences Exactes et Naturelles | La bibliothèque des Sciences Exactes et Naturelles | 11950 | 512.55 GRA | 0000000013046 | 11/23/2016 | 11/23/2016 | Livre |