Graded Contractions of the Pauli Graded sl(3,C)

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F06%3A04121913" target="_blank" >RIV/68407700:21340/06:04121913 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Graded Contractions of the Pauli Graded sl(3,C)
Original language description
The Lie algebra sl(3,C) is considered in the basis of generalized Pauli matrices. The set of 48 contraction equations for 24 contraction parameters is solved. Among the solutions, 175 equivalence classes are non-parametric and 13 solutions depend on oneor two continuous parameters. Solutions are identified as specific solvable Lie algebras of dimensions up to 8: there are 88 indecomposable solvable Lie algebras of dimension 8, 77 of them being nilpotent. There are also 11 infinite sets of parametric Lie algebras.
Czech name
Graduovane kontrakce sl(3,C) v Pauliho gradaci
Czech description
"Lieova algebra sl(3,C) je zkoumana v bazi zobecnenych Pauliho matic. Je nalezeno reseni soustavy 48 kontrakcnich rovnic pro 24 kontrakcnich parametru. Mezi resenimi je 175 trid ekvivalence neparametrickych reseni a 13 reseni zavisi na jednom nebo dvou spojitych parametrech. Reseni jsou identifikovana jako specificke resitelne Lieovy algebry dimenzi do maximalni hodnoty 8, v tom 88 nerozlozitelnych resitelnych Lieovych algeber dimenze 8, z nichz 77 je nilpotentnich. Bylo tez nalezeno 11 nekonecnych rodin parametrickych Lieovych algeber.

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Publication year
2006
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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