About: Classification and Identification of Lie Algebras

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.ams.org/bookstore?fn=20&arg1=crmmseries&ikey=CRMM-33
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 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 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. (en)
Title	Classification and Identification of Lie Algebras Classification and Identification of Lie Algebras (en)
skos:prefLabel	Classification and Identification of Lie Algebras Classification and Identification of Lie Algebras (en)
skos:notation	RIV/68407700:21340/14:00209725!RIV15-MSM-21340___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM6840770039)
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Šnobl, Libor
http://linked.open.../riv/druhVysledku	B - Odborná kniha
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	7444
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/14:00209725
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Lie algebras; classification of Lie algebras; identification of Lie algebras; direct sum, Levi decomposition; radical; nilradical; solvable Lie algebras; low dimensional Lie algebras; Casimir invariants (en)
http://linked.open.../riv/klicoveSlovo	Casimir invariants Lie algebras radical solvable Lie algebras Levi decomposition classification of Lie algebras direct sum identification of Lie algebras low dimensional Lie algebras nilradical
http://linked.open...ontrolniKodProRIV	[433BF2BA0F06]
http://linked.open...i/riv/mistoVydani	New York
http://linked.open...vEdiceCisloSvazku	CRM Monograph Series č. sv. 33
http://linked.open...i/riv/nazevZdroje	Classification and Identification of Lie Algebras
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...v/pocetStranKnihy	306 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2014
http://linked.open...iv/tvurceVysledku	Šnobl, Libor Winternitz, Pavel
http://linked.open...n/vavai/riv/zamer	Matematické, počítačové a experimentální metody ve fyzice
number of pages	306 (xsd:int)
http://purl.org/ne...btex#hasPublisher	American Mathematical Society
https://schema.org/isbn	978-0-8218-4355-0
http://localhost/t...ganizacniJednotka	21340

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