半单李代数单理想直和分解式的性质 |
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引用本文: | 热比古丽.吐尼亚孜.半单李代数单理想直和分解式的性质[J].首都师范大学学报(自然科学版),2014(1):1-2,14. |
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作者姓名: | 热比古丽.吐尼亚孜 |
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作者单位: | 新疆大学数学与系统科学学院,乌鲁木齐830046 |
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摘 要: | 本文作为推论给出了半单李代数L上的一个元素x的半单部分,幂零部分与对应的单理想值和分解式中x的每一个分量的半单部分,幂零部分之间的关系.然后再给出了半单李代数L的Killing型与单理想值和分解式中的每一个单理想的Killing型之间的关系.
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关 键 词: | Jordan分解式 半单部分 幂零部分 单理想值和分解 Killing型. |
Property of Decomposition of Semisimple Lie Algebra |
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Institution: | Rabigul Tunyaz ( College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046) |
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Abstract: | In this paper,as a corollary it is shown that the semisimlpe and nilpotent parts of x ∈ L are the sums of thesemisimple and nilpotent parts in the various Li (i =1,…,t) of the components of x,where L =L1 (@)L2(@)…(@) Lt be the decomposition of a semisimple Lie algebra L into its simple ideals.It is also shown that the Killing form of L is sum of the Killing forms of various Li (i =1,…,t). |
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Keywords: | decomposition of simple ideals Jordan decomposition semisimple part nilpotent part Killing |
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