Lie Algebras: Theory and Algorithms

Theory and Algorithms

de

Éditeur :

North Holland


Paru le : 2000-02-04



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Description
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.
Pages
408 pages
Collection
n.c
Parution
2000-02-04
Marque
North Holland
EAN papier
9780444501165
EAN PDF
9780080535456

Informations sur l'ebook
Nombre pages copiables
40
Nombre pages imprimables
40
Taille du fichier
38042 Ko
Prix
144,53 €
EAN EPUB SANS DRM
9780080535456

Prix
144,53 €

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