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Cup-Product for Equivariant leibniz Cohomology and Zinbiel Algebras

Algebra Colloquium 2019年第2期26卷 271-284页

作者： Goutam Mukherjee Ripan Saha Stat-Math Unit Indian Statistical Institute B. T. Road 203 Kolkata 700108 West Bengal India Department of Mathematics Raiganj University Raiganj 733134 West Bengal India

We study finite group actions on leibniz algebras, and define equivariant cohomology groups associated to such actions. We show that there exists a cup-product operation on this graded cohomology, which makes it a gra... 详细信息

关键词： group action leibniz algebra equivariant cohomology Zinbiel algebra

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leibniz′FORMULA OF GENERALIZED DIFFERENCE WITH RESPECT TO A CLASS OF DIFFERENTIAL OPERATORS AND RECURRENCE FORMULA OF THEIR GREEN′S FUNCTION

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Applied Mathematics and Mechanics(English Edition) 1984年第3期9卷 1359-1364页

作者：许跃生 Department of Computer Science Zhongshan University Guangzhou

In this paper, leibniz' formula of generalized divided difference with respect to a class of differential operators whose basic sets of solutions have power form, is considered. The recurrence formula of Green functio... 详细信息

关键词： leibniz S FUNCTION FORMULA OF GENERALIZED DIFFERENCE WITH RESPECT TO A CLASS OF DIFFERENTIAL OPERATORS AND RECURRENCE FORMULA OF THEIR GREEN

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leibniz and Clarke in Conflict： The Role of＂Force＂ and the Nature of God＇s Providence

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Frontiers of Philosophy in China 2015年第2期10卷 287-297页

作者： WANG Xiaona School of History Classics and Archaeology University of Edinburgh Scotland EH1 2PE UK

The intellectual background of the concept of force in the dispute between leibniz and Clarke has not received enough scholarly attention. Vailati＇s monograph, which is the most important study of the leibniz-Clarke correspondence, focuses on a non-theological dimension in terms of the concept of force in this debate. Based on this perspective, Vailati＇s conclusion is that Clarke＇s understanding of force was totally different from that of Newton. However, the historical context shows that this is not the case. Clarke＇s concept of motive force bore a strong resemblance to that of Newton, according to which force was an active principle that had been endowed upon matter at the beginning of God＇s creation. Furthermore, the close link between force, matter and God＇s providence had a long tradition of debate between Cartesian and Gassendian philosophers since early modem times. The different concepts of force dividing Cartesian and Gassendian philosophers were actually related to, and conditioned by, their underlying fundamental theological differences. The concept of force in the leibniz-Clarke controversy, accordingly, could be regarded as along the lines of the earlier disputes between Cartesian and Gassendian philosophers.

关键词： force God's providence leibniz Clarke Vailati

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leibniz Color代数和leibniz Poisson Color代数

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吉林大学学报（理学版） 2014年第2期52卷 173-178页

作者：高齐王聪张庆成东北师范大学数学与统计学院长春130024

定义了leibniz color代数和leibniz Poisson color代数,并通过新定义的乘法运算得到了构造leibniz color代数和leibniz Poisson color代数的方法.

关键词： Lie color代数 leibniz color代数 Poisson color代数 leibniz Poisson color代数

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leibniz n-代数的Frattini扩张

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东北师大学报（自然科学版） 2016年第3期48卷 5-8页

作者：关宝玲韩旸齐齐哈尔大学理学院黑龙江齐齐哈尔161006

通过将李代数的Frattini扩张推广到leibniz n-李代数,得到了leibniz n-代数的Frattini扩张的一些重要性质,给出了leibniz n-代数的Frattini扩张的几个充分必要条件.

关键词： leibniz n-代数 Frattini扩张 Frattini理想

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Enveloping Lie Algebras of Low Dimensional leibniz Algebras

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Applied Mathematics 2011年第8期2卷 1027-1030页

作者： Massoud Amini Isamiddin Rakhimov Seyed Jalal Langari 不详

We calculate the enveloping Lie algebras of leibniz algebras of dimensions two and three. We show how these Lie algebras could be used to distinguish non-isomorphic (nilpotent) leibniz algebras of low dimension in some cases. These results could be used to associate geometric objects (loop spaces) to low dimensional leibniz algebras.

关键词： leibniz Algebra Enveloping Lie Algebra Nilpotent Algebra

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