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Lie algebras : (notice n° 12969)

000 -LEADER
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
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