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基本李代数的一种等价刻画
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作者 赵新超 卢才辉 《数学研究》 CSCD 2003年第2期202-210,共9页
文 [1]提出一个问题 :“如果李代数L的所有幂零子代数都是交换子代数 ,那么L是否在它的每个理想上可分 ?”并给出一个反例说明该问题一般不成立 .本文就是从分析该反例入手 ,说明问题不成立的原因 ,并给出该问题成立的条件 。
关键词 FRATTINI子代数 Frattini理想 φ-自由李代数 基本李代数 可裂的李代数
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Invariant Symmetric Bilinear Forms and Derivation Algebras of Unitary Lie Algebras 被引量:1
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作者 Yelong Zheng Jiwen Gao Yun Gao 《Algebra Colloquium》 SCIE CSCD 2016年第3期I0001-I0002,361-384,共26页
Invariant symmetric bilinear forms and derivation algebras of a unitary Lie algebra L over R are characterized: (L) ≌ (R+/([R, R] A R+))* and Der(L) = Inn(L) + Der(L)0 = Inn(L) + SDer(R), which ... Invariant symmetric bilinear forms and derivation algebras of a unitary Lie algebra L over R are characterized: (L) ≌ (R+/([R, R] A R+))* and Der(L) = Inn(L) + Der(L)0 = Inn(L) + SDer(R), which recover what of the special linear Lie algebra and Steinberg Lie algebra over R, where R is a unital involutory associative algebra over a field F. 展开更多
关键词 elementary unitary lie algebra Steinberg unitary lie algebra invariant sym-metric bilinear form derivation algebra
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Elementary n-Lie Algebras 被引量:2
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作者 白瑞蒲 张艳艳 《Northeastern Mathematical Journal》 CSCD 2007年第4期321-334,共14页
In this paper, we mainly study some properties of elementary n-Lie algebras, and prove some necessary and sufficient conditions for elementary n-Lie algebras. We also give the relations between elementary n-algebras a... In this paper, we mainly study some properties of elementary n-Lie algebras, and prove some necessary and sufficient conditions for elementary n-Lie algebras. We also give the relations between elementary n-algebras and E-algebras. 展开更多
关键词 Frattini subalgebra elementary n-lie algebra E-algebra
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