Lie algebras: theory and algorithms
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsevier
2000
|
| Ausgabe: | 1st ed |
| Schriftenreihe: | North-Holland mathematical library
v. 56 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 Includes bibliographical references (p. [379]-386) and index |
| Beschreibung: | 1 Online-Ressource (xii, 393 p.) |
| ISBN: | 9780444501165 0444501169 |
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| 500 | |a 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 | ||
| 500 | |a Includes bibliographical references (p. [379]-386) and index | ||
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Datensatz im Suchindex
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| author | De Graaf, Willem A. |
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| dewey-full | 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1st ed |
| format | Electronic eBook |
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| id | DE-604.BV042317280 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:16Z |
| institution | BVB |
| isbn | 9780444501165 0444501169 |
| language | English |
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| spelling | De Graaf, Willem A. Verfasser aut Lie algebras theory and algorithms Willem A. de Graaf 1st ed Amsterdam Elsevier 2000 1 Online-Ressource (xii, 393 p.) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematical library v. 56 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 Includes bibliographical references (p. [379]-386) and index Lie-algebra's gtt Algoritmen gtt Lie algebras fast Lie algebras Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 s 1\p DE-604 http://www.sciencedirect.com/science/book/9780444501165 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | De Graaf, Willem A. Lie algebras theory and algorithms Lie-algebra's gtt Algoritmen gtt Lie algebras fast Lie algebras Lie-Algebra (DE-588)4130355-6 gnd |
| subject_GND | (DE-588)4130355-6 |
| title | Lie algebras theory and algorithms |
| title_auth | Lie algebras theory and algorithms |
| title_exact_search | Lie algebras theory and algorithms |
| title_full | Lie algebras theory and algorithms Willem A. de Graaf |
| title_fullStr | Lie algebras theory and algorithms Willem A. de Graaf |
| title_full_unstemmed | Lie algebras theory and algorithms Willem A. de Graaf |
| title_short | Lie algebras |
| title_sort | lie algebras theory and algorithms |
| title_sub | theory and algorithms |
| topic | Lie-algebra's gtt Algoritmen gtt Lie algebras fast Lie algebras Lie-Algebra (DE-588)4130355-6 gnd |
| topic_facet | Lie-algebra's Algoritmen Lie algebras Lie-Algebra |
| url | http://www.sciencedirect.com/science/book/9780444501165 |
| work_keys_str_mv | AT degraafwillema liealgebrastheoryandalgorithms |