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	阶化平移Toroidal李代数L_4的导子和泛中心扩张; The Derivations and Universal Central Extension of Gradation Shifting Toroidal Lie Algebra L_4
	孔小丽
	2009
关键词	阶化平移toroidal李代数 导子 泛中心扩张 gradation shifting toroidal Lie algebra derivation universal central extension
英文摘要	TOrOIdAl李代数(加适当的中心和导子)是以lAurEnT多项式代数为坐标环面的扩张仿射李代数.阶化平移TO-rOIdAl李代数ln(n≥3)是b型和d型TOrOIdAl李代数的自然推广.考虑n=4时的导子和泛中心扩张,给出l4的导子,并通过一类特殊的阶化给予证明.也给出l4的所有的2-上循环,从而得到它的泛中心扩张.可以看出结论与孔和谭文章中n≠4时有很大的不同.; It is known that toroidal Lie algbras(with certain central elements and derivations added) are extended affine Lie algebra with Laurent polynomial algebra as coordinate torus.Gradation shifting toroidal Lie algebras Ln(n≥3) are generalizations of the toroidal Lie algebras of type B and D.In this paper,the case for n=4 was considered.The derivations of L4 were given,and the result was proved by using a new gradation.The universal central extension of L4 by finding all 2-cocycles was also got.These results are very different from the cases for n≠4 in Kong and Tan's paper.; 国家自然科学基金(10671160)资助
语种	zh_CN
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/119704]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	孔小丽. 阶化平移Toroidal李代数L_4的导子和泛中心扩张, The Derivations and Universal Central Extension of Gradation Shifting Toroidal Lie Algebra L_4[J],2009.
APA	孔小丽.(2009).阶化平移Toroidal李代数L_4的导子和泛中心扩张..
MLA	孔小丽."阶化平移Toroidal李代数L_4的导子和泛中心扩张".(2009).

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