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Orbits in real Z(m)-graded semisimple Lie algebras

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    SYSNO ASEP0359321
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleOrbits in real Z(m)-graded semisimple Lie algebras
    Author(s) Le, Hong-Van (MU-W) RID, SAI, ORCID
    Source TitleJournal of Lie Theory. - : Heldermann Verlag - ISSN 0949-5932
    Roč. 21, č. 2 (2011), s. 285-305
    Number of pages21 s.
    Languageeng - English
    CountryDE - Germany
    KeywordsReal Z-sub-m-graded Lie algebra ; nilpotent elements ; homogeneous elements
    Subject RIVBA - General Mathematics
    R&D ProjectsIAA100190701 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
    CEZAV0Z10190503 - MU-W (2005-2011)
    UT WOS000291124500003
    EID SCOPUS79955534742
    AnnotationWe propose a method to classify homogeneous nilpotent elements in a real Zm-graded semisimple Lie algebra g. Using this we describe the set of orbits of homogeneous elements in a real Z2-graded semisimple Lie algebra. A classification of 4-vectors (resp. 4-forms) on R8 can be given using this method.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2012
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