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A new definition of restricted Lie superalgebras

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Chinese Science Bulletin 2000年第4期45卷 316-321页

作者： WANG Ying & ZHANG Yongzheng1. department of mathematics, Harbin Institute Technology, Harbin 150001, china 2. department of mathematics, northeast normal university, changchun 130024, china department of mathematics Harbin Institute Technology Harbin China department of mathematics Northeast Normal University Changchun China

A new definition of restricted Lie superalgebras has been given; some important results on the representation theory of restricted Lie superalgebra have been obtained.

关键词： restricted Lie superalgebra p-mapping p-semilinear mapping α-representation.

中美初中学段“数与代数”领域内容标准的比较研究

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数学教育学报 2004年第4期13卷 45-48页

作者：刘长明孙连举人民教育出版社中学数学室北京100009 东北师范大学数学系吉林长春130024

为了迎接新世纪的挑战,中美都出台了新的数学课程标准.在初中学段“ 数与代数” 领域两国标准有异有同,有优有劣.与美国《标准》相比,中国《标准》偏重于学生对实际问题的有效解决,教学目标的重心在“ 双基”,包含内容更广,教学要求更深... 详细信息

为了迎接新世纪的挑战,中美都出台了新的数学课程标准.在初中学段“ 数与代数” 领域两国标准有异有同,有优有劣.与美国《标准》相比,中国《标准》偏重于学生对实际问题的有效解决,教学目标的重心在“ 双基”,包含内容更广,教学要求更深;在案例支持上,中国《标准》显得过于简单.“ 数与代数” 领域的教学应注意:以“ 模式” 为平台,加强代数和现实生活之间的联系;加强现代信息技术与“ 数与代数” 教学的整合.

关键词：中国美国初中数学教学代数课程标准图形计算器

Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic

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Chinese Science Bulletin 1997年第9期42卷 720-724页

作者： ZHANG Yongzhengdepartment of mathematics, northeast normal university, changchun, 130024, china department of mathematics Northeast Normal University Changchun China

IN this note the infinite-dimensional Lie superalgebras of Cartan type X(m,n)(X=W,S,H or K)over field F of prime characteristic are *** the second class of finite-dimensional Lie superalgebras of Cartan type over F is... 详细信息

关键词： exterior algebra Lie superalgebra filtration.

A general type of twisted anomaly cancellation formulas

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Science china mathematics 2010年第7期53卷 1684-1695页

作者： WANG Yong School of mathematics and Statistics, northeast normal university, changchun 130024, china 1. School of mathematics and Statistics Northeast Normal University Changchun 130024 China

For even-dimensional manifolds, we prove some twisted anomaly cancellation formulas which generalize some well-known cancellation formulas. For odd dimensional manifolds, we obtain some modularly invariant characteris... 详细信息

关键词： modular invariance transgression cancellation formulas

The restricted EM algorithm under linear inequalities in a linear model with missing data

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Science china mathematics 2005年第6期48卷 819-828页

作者： ZHENG Shurong, SHI Ningzhong & GUO Jianhua School of mathematics and Statistics, northeast normal university, changchun 130024, china Institute of mathematics, Jilin university, changchun 130012, china 1. School of mathematics and Statistics Northeast Normal University 130024 Changchun China 2. Institute of mathematics Jilin University 130012 Changchun China

This paper discusses the maximum likelihood estimate of β under linear inequalities A0β≥ a in a linear model with missing data, proposes the restricted EM algo rithm and proves the convergence.

关键词： EM algorithm, linear model, maximum likelihood estimate, missing data.

Z-Graded Lie Superalgebras with Depth One over Fields of Prime Characteristic

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Acta Mathematica Sinica,English Series 2002年第4期18卷 687-700页

作者： Yong Zheng ZHANG department of mathematics. northeast normal university. changchun 130024. P. R. china department of mathematics Northeast Normal University Changchun 130024 P. R. China

Let F be a field of characteristic p>3, and L=_(i≥-1) L_i the finite-dimensional transitive Z-graded simple Lie superalgebra over F. In this paper L is determined if the Z-graded Lie superalgebra L_(-1) L_O is isomo... 详细信息

关键词： Lie superalgebra Exterior algebra Field of prime characteristic

Infinite-dimensional Hamiltonian Lie superalgebras

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Science china mathematics 2010年第6期53卷 1625-1634页

作者： MU Qiang1,2 & ZHANG YongZheng1,1School of mathematics and Statistics,northeast normal university,changchun 130024,china 2School of mathematics,Harbin normal university,Harbin 150025,china 1. School of mathematics and Statistics Northeast Normal University Changchun 130024 China2. School of Mathematics Harbin Normal University Harbin 150025 China

The natural filtration of the infinite-dimensional Hamiltonian Lie superalgebra over a field of positive characteristic is proved to be invariant under automorphisms by characterizing ad-nilpotent *** are thereby able to obtain an intrinsic characterization of the Hamiltonian Lie superalgebra and establish a property of the automorphisms of the Lie superalgebra.

关键词： Hamiltonian superalgebra filtration automorphism

Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit

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Chinese Annals of mathematics,Series B 2006年第5期27卷 565-580页

作者： Zhen LEI School of Mathematical Sciences, Fudan university, Shanghai 200433, china School of mathematics and Statistics, northeast normal university, changchun 130024, china. School of Mathematical Sciences Fudan University Shanghai 200433 China School of mathematics Statistics Northeast Normal University Changchun 130024 China

In this paper, we prove local and global existence of classical solutions for a system of equations concerning an incompressible viscoelastic fluid of Oldroyd-B type via the incompressible limit when the initial data ... 详细信息

关键词： Incompressible limit Global existence Oldroyd model

Effect of monotoxicity and mixtoxicity of nitroaromatics to the green algae, Scienedesmus obliquus

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Journal of Environmental Sciences 2000年第3期12卷 367-368页

作者： LIU Jing\|ling, LANG Pei\|zheng (department of Environmental Sciences, northeast normal university, changchun 130024, china) 西北师范大学甘肃长春 1 3 0 0 2

In general, many pollutants co\|exist in natural aquatic ecosystems. They affect each other and occur different results, such as synergism, addition and antagonism. So the research at mixtoxicity of contaminants to aquatic organism is more important than monotoxicity. In this paper, 50% effectual inhibition concentration 48h \%EC\%\-\{50\} values of 6 kinds of nitroaromatic compounds to the green algae, \%Scenedesmus obliquus,\% were investigated. Mixtoxic experiments, in which any combination of 2,4\|DNT and other 6 kinds of compounds, indicate: (1) synergisms between 2,4\|DNT and 4\|NAn, as well as 4\|NAnis, 1,4\|DNB; (2) antagonisms between 2,4\|DNT and 4\|NT, as well as 4\|NPh, 4\|NCB.

关键词： monotoxicity mixtoxicity nitroaromatics green algae