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

The result's identifiers

  • 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

  • DOI - Digital Object Identifier

Alternative languages

  • 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.

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2006

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Linear Algebra and Its Applications

  • ISSN

    0024-3795

  • e-ISSN

  • Volume of the periodical

    418

  • Issue of the periodical within the volume

    2-3

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    53

  • Pages from-to

    498-550

  • UT code for WoS article

  • EID of the result in the Scopus database