Classification of real Lie superalgebras based on a simple Lie algebra, giving rise to interesting examples involving su(2,2)
Classification of real Lie superalgebras based on a simple Lie algebra, giving rise to interesting examples involving su(2,2)
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DOI：
10.1063/1.4895917
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发表时间：
2014-09
影响因子：
1.3
通讯作者：
H. Guzzo;I. Hernández;O. Sánchez-Valenzuela
中科院分区：
文献类型：
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作者：
H. Guzzo;I. Hernández;O. Sánchez-Valenzuela
用有限维半单复李超代数刻画了有限维半单实李超代数。作为这些结果的一个应用，给出了有限维实李超代数m=M0是单李代数的⊕M1的同构分类。
Finite dimensional semisimple real Lie superalgebras are described via finite dimensional semisimple complex Lie superalgebras. As an application of these results, finite dimensional real Lie superalgebras m=m0⊕m1 for which m0 is a simple Lie algebra are classified up to isomorphism.