Classification and Identification of Lie Algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00209725" target="_blank" >RIV/68407700:21340/14:00209725 - isvavai.cz</a>
Result on the web
<a href="http://www.ams.org/bookstore?fn=20&arg1=crmmseries&ikey=CRMM-33" target="_blank" >http://www.ams.org/bookstore?fn=20&arg1=crmmseries&ikey=CRMM-33</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Classification and Identification of Lie Algebras
Original language description
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
Czech name
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Czech description
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Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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