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Lie algebras : theory and algorithms

Publisher: Amsterdam ; New York : Elsevier, 2000.
Series: North-Holland mathematical library, v. 56
Edition/Format:   eBook : Document : English : 1st edView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
ISBN: 9780444501165 0444501169
OCLC Number: 731730617
Notes: 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.
Description: 1 online resource (Online-Datei.)
Contents: 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.
Series Title: North-Holland mathematical library, v. 56
Responsibility: Willem A. de Graaf.

Abstract:

Aims to give an account of the algorithms for calculating with finite-dimensional Lie algebras; and to provide an introduction into the theory of finite-dimensional Lie algebras.  Read more...

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....a book that will be useful for experts, as well as for interested researchers from other fields of mathematical physics.European Mathematical Society NewsletterThis book presents both the Lie Read more...

 
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