Screen LibraryLie algebras : theory and algorithms /
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 rel...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
Elsevier,
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| Publisher Address: | Amsterdam ; New York : |
| Publication Dates: | 2000. |
| Literature type: | eBook |
| Language: | English |
| Edition: | First edition. |
| Series: |
North-Holland mathematical library ;
v. 56 |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/bookseries/09246509/56 |
| 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 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 |
| Carrier Form: | 1 online resource (xii, 393 pages). |
| Bibliography: | Includes bibliographical references (pages 379-386) and index. |
| ISBN: |
9780444501165 0444501169 9780080535456 0080535453 |
| Index Number: | QA252 |
| CLC: | O152.5 |
| 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. |