Lie Algebras Theory and Algorithms is popular PDF and ePub book, written by W.A. de Graaf in 2000-02-04, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Lie Algebras Theory and Algorithms can be Read Online from any device for your convenience.
Lie Algebras Theory and Algorithms Book PDF 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 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.
Detail Book of Lie Algebras Theory and Algorithms PDF
- Author : W.A. de Graaf
- Release : 04 February 2000
- Publisher : Elsevier
- ISBN : 9780080535456
- Genre : Mathematics
- Total Page : 407 pages
- Language : English
- PDF File Size : 18,5 Mb
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