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On the Toroidal Leibniz Algebras 被引量：1

On the Toroidal Leibniz Algebras
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摘要 Toroidal Leibniz algebras are the universal central extensions of the iterated loop algebras g×C[t1^±1,...,tv^±1] in the category of Leibniz algebras. In this paper, some properties and representations of toroidal Leibniz algebras are studied. Some general theories of central extensions of Leibniz algebras are also obtained. Toroidal Leibniz algebras are the universal central extensions of the iterated loop algebras g×C[t1^±1,...,tv^±1] in the category of Leibniz algebras. In this paper, some properties and representations of toroidal Leibniz algebras are studied. Some general theories of central extensions of Leibniz algebras are also obtained.
作者 Dong LIU Lei LIN
机构地区 Department of Mathematics Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第2期227-240,共14页 数学学报（英文版）
基金 the NNSF (Grants 10671027,10271076,10701019) the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No.06KJBll0003) Program for Changjiang Scholars and Innovative Research Team in University (PCSIRT) the Shanghai Priority Academic Discipline from the SMEC
关键词 Toroidal Leibniz algebra derivation and automorphism universal central extension Toroidal Leibniz algebra, derivation and automorphism, universal central extension
分类号 O153 [理学—基础数学]
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参考文献31

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同被引文献12

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  • 10LIU D, HU NH. Leibniz Algebras Graded by Finite Root Systems [J]. Algebra Colloquium, 2010, 17(3): 431-446.

引证文献1

Acta Mathematica Sinica,English Series
2008年 第2期

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