Classification and Identification of Lie Algebras is popular PDF and ePub book, written by Libor Šnob in 2017-04-05, it is a fantastic choice for those who relish reading online the Uncategoriezed genre. Let's immerse ourselves in this engaging Uncategoriezed book by exploring the summary and details provided below. Remember, Classification and Identification of Lie Algebras can be Read Online from any device for your convenience.
Classification and Identification of Lie Algebras Book PDF Summary
The purpose of this book is to serve as a tool for researchers and practitioners who apply Lie algebras and Lie groups to solve problems arising in science and engineering. The authors address the problem of expressing a Lie algebra obtained in some arbitrary basis in a more suitable basis in which all essential features of the Lie algebra are directly visible. This includes algorithms accomplishing decomposition into a direct sum, identification of the radical and the Levi decomposition, and the computation of the nilradical and of the Casimir invariants. Examples are given for each algorithm. For low-dimensional Lie algebras this makes it possible to identify the given Lie algebra completely. The authors provide a representative list of all Lie algebras of dimension less or equal to 6 together with their important properties, including their Casimir invariants. The list is ordered in a way to make identification easy, using only basis independent properties of the Lie algebras. They also describe certain classes of nilpotent and solvable Lie algebras of arbitrary finite dimensions for which complete or partial classification exists and discuss in detail their construction and properties. The book is based on material that was previously dispersed in journal articles, many of them written by one or both of the authors together with their collaborators. The reader of this book should be familiar with Lie algebra theory at an introductory level.
Detail Book of Classification and Identification of Lie Algebras PDF
- Author : Libor Šnob
- Release : 05 April 2017
- Publisher : American Mathematical Soc.
- ISBN : 9781470436544
- Genre : Uncategoriezed
- Total Page : 306 pages
- Language : English
- PDF File Size : 11,9 Mb
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