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Orbits in real Z(m)-graded semisimple Lie algebras
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SYSNO ASEP 0359321 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Orbits in real Z(m)-graded semisimple Lie algebras Author(s) Le, Hong-Van (MU-W) RID, SAI, ORCID Source Title Journal of Lie Theory. - : Heldermann Verlag - ISSN 0949-5932
Roč. 21, č. 2 (2011), s. 285-305Number of pages 21 s. Language eng - English Country DE - Germany Keywords Real Z-sub-m-graded Lie algebra ; nilpotent elements ; homogeneous elements Subject RIV BA - General Mathematics R&D Projects IAA100190701 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000291124500003 EID SCOPUS 79955534742 Annotation We 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2012
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