Left-symmetric algebras from linear functions

Left-symmetric algebras from linear functions
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DOI:
10.1016/j.jalgebra.2004.06.036
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发表时间:
2004-06
期刊:
影响因子:
0.9
通讯作者:
C. Bai
C. Bai
中科院分区:
数学3区
文献类型:
--
作者:
C. Bai

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在本文中,一些左对称代数是由线性函数构造的。它们包括一种简单的左对称代数和数学物理中出现的一些例子。还给出了它们的完整分类,表明它们可以看作某些二维左对称代数的推广。
In this paper, some left-symmetric algebras are constructed from linear functions. They include a kind of simple left-symmetric algebras and some examples appearing in mathematical physics. Their complete classification is also given, which shows that they can be regarded as generalization of certain two-dimensional left-symmetric algebras.