New PDF release: Lie Algebras: Theory and Algorithms (North-Holland

By W. A. de Graaf

the purpose of the current paintings is two-fold. to begin with it goals at a giving an account of many present algorithms for calculating with finite-dimensional Lie algebras. Secondly, the publication presents an creation into the idea of finite-dimensional Lie algebras. those topic components are in detail comparable. firstly, the algorithmic viewpoint usually invitations a distinct method of the theoretical fabric than the only taken in a number of different monographs (e.g., [42], [48], [77], [86]). certainly, on quite a few events the data of definite algorithms permits us to procure a simple evidence of theoretical effects (we point out the facts of the Poincaré-Birkhoff-Witt theorem and the evidence of Iwasawa's theorem as examples). additionally proofs that include algorithmic buildings are explicitly formulated as algorithms (an instance is the isomorphism theorem for semisimple Lie algebras that constructs an isomorphism in case it exists). Secondly, the algorithms can be utilized to reach at a greater realizing of the speculation. appearing the algorithms in concrete examples, calculating with the recommendations concerned, rather brings the idea of life.

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Lie Algebras: Theory and Algorithms (North-Holland Mathematical Library) by W. A. de Graaf


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