On the Extensions of Lie Algebras

On the Extensions of Lie Algebras
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关于李代数的推广

DOI:
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发表时间:
1968
期刊:
Canadian Journal of Mathematics - Journal Canadien de Mathematiques
影响因子:
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通讯作者:
R. Block
R. Block
中科院分区:
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文献类型:
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作者:
R. Block

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在本文中,我们给出了一些结果的扩大李代数,强调的情况下,素特征,虽然部分文件也感兴趣的特征0。李代数L的扩张是一个对(E,π),其中E是李代数,π是E到L的同态。扩展的核K是ker π。
In this paper we give some results on the extensions of Lie algebras, with emphasis on the case of prime characteristic, although part of the paper is also of interest at characteristic 0. An extension of a Lie algebra L is a pair (E, π), where £ is a Lie algebra and π is a homomorphism of E onto L. The kernel K of the extension is ker π.