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A family of transitive modular Lie superalgebras with depth one

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Science china mathematics 2007年第10期50卷 1451-1466页

作者： Wen-de LIU~(1+) Yong-zheng ZHANG~2 ~1 department of mathematics,Harbin Normal university,Harbin 150080,china {4.,northeast Normal university,changchun 130024.china 1. department of mathematics Harbin Normal University Harbin 150080 China 2. department of mathematics Northeast Normal University Changchun 130024 China

The embedding theorem is established for Z-graded transitive modular Lie superalgebras g■■■(g-1)satisfying the conditions: (i)g0■■(g-1) and g0-module g-1 is isomorphic to the natural■(g-1)-module; (ii)dim g1=2/3n(2n^2+1),where n=1/2dim g-1. In particular,it is proved that the finite-dimensional simple modular Lie superalgebras satisfying the conditions above are isomorphic to the odd Hamiltonian *** restricted Lie superalgebras are also considered.

关键词： flag, divided power algebra, modular Lie superalgebra, embedding theorem

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.

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. {4. 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

Sliding Mode Control in a Nonlinear Flexible Robot System

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Systems Science and Systems Engineering 1995年第1期5卷 60-67页

作者： Hou Xuezhang(department of mathematics,northeast Normal university,{4.,130024)

This paper is devoted to the investigation of variable structure control in a nonlinear flexible robot *** the help of the theory of functional analysis and the operator semigroup,we have proved that the given nonline... 详细信息

关键词： flexible robot sliding mode control exponential stable.

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 {4., 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 4.h \%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

The Normality of Cayley (Di)graphs of Out-valency 3 of Dihedral Group of Order 4.

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Communications in Mathematical Research 1999年第2期 47-56页

作者： Zhou Jie (department of mathematics, northeast Normal university, {4., 130024)

§１．ＩｎｔｒｏｄｕｃｔｉｏｎＬｅｔＧｂｅａｆｉｎｉｔｅｇｒｏｕｐａｎｄＳａｓｕｂｓｅｔｏｆＧｎｏｔｃｏｎｔａｉｎｉｎｇｔｈｅｉｄｅｎｔｉｔｙｅｌｅｍｅｎｔ１ｏｆＧ．ＷｅｄｅｆｉｎｅｔｈｅＣａｙｌｅｙ（ｄｉ）ｇｒａｐ... 详细信息

§１．ＩｎｔｒｏｄｕｃｔｉｏｎＬｅｔＧｂｅａｆｉｎｉｔｅｇｒｏｕｐａｎｄＳａｓｕｂｓｅｔｏｆＧｎｏｔｃｏｎｔａｉｎｉｎｇｔｈｅｉｄｅｎｔｉｔｙｅｌｅｍｅｎｔ１ｏｆＧ．ＷｅｄｅｆｉｎｅｔｈｅＣａｙｌｅｙ（ｄｉ）ｇｒａｐｈＸ＝Ｃａｙ（Ｇ，Ｓ）ｏｆＧｗｉｔ...

关键词： Cayley (De)graph Normal Cayley (Di)graph Dihedral Group

Updating verbal and visuospatial working memory: Are the processes parallel?

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Chinese Science Bulletin 2008年第14期53卷 2175-2185页

作者： YUE ZhenZhu1,2, ZHANG Ming3,4.& ZHOU XiaoLin1 1 department of Psychology, Peking university, Beijing 100871, china 2 Biological Psychology and Neuropsychology, university of Hamburg, Von-Melle-Park 11, 2014. Hamburg, Germany 3 department of Psychology, northeast Normal university, changchun 130024, china 4.Key Laboratory for Applied Statistics of MOE, northeast Normal university, changchun 130024, china NE Normal Univ Dept Psychol Changchun 130024 Peoples R China.

The current study compared the processes of updating verbal and visuospatial working memory (WM) and examined the roles of central executive and slave systems in working memory updating tasks, by changing the number of items updated simultaneously to manipulate the load on central executive. Ex- periment 1 used the verbal WM updating task, and the results validated the efficiency of the paradigm to manipulate the load on central executive. Experiment 2 employed the verbal WM updating task, with the articulatory suppression task to interfere with the phonological loop. The results supported the study by Morris and Jones, revealing that the central executive system played an important role in the updating component of verbal WM, while the phonological loop was responsible for the serial recall component. Experiment 3 employed the visuospatial WM updating task, with the spatial tapping task to interfere with the visuospatial sketchpad. The results suggested that the visuospatial sketchpad and the central execu- tive together dealt with the updating component, while the visuospatial sketchpad was responsible for the serial recall component by itself. These results are consistent with the findings that visuospatial sketch- pad has close links with central executive, while the phonological loop is separated from the central ex- ecutive. It suggests that updating visuospatial and verbal WM are not two parallel processes.

关键词：记忆储存工作记忆中枢神经视觉性

LIE ALGEBRA K(n,μj,m)OF CARTAN TYPE OF CHARACTERISTIC p=2.

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Chinese Annals of mathematics,Series B 1992年第3期13卷 315-326页

作者：张永正林磊 department of mathematics Northeast Normal UniversityChangchunJilin 130024China. department of mathematics East China Normal UniversityShanghai 200062China.

Let K(n,μ_j,m),n=2r+1,denote the Lie algebra of characteristic p=2,which isdefined in [4..In the paper the restrietability of K(n,μ_j,m)is discussed and it is provedthat,when r≡1(mod 2)and r>1,1(ad.f)=n+1 if and only if 0≠f∈.Then theinvariance of some filtrations of K(n,μ_j,m)and the condition of isomorphism of K(n,μ_j,m)and K(n′,μ_j′,m′)are ***,the generators and the derivation algebraof K(n,μ_l,m)are *** results also hold,when r=0(mod 2)and r>0.

关键词： derivation algebra 二七云一 LIE ALGEBRA K linearly proof integers formal invar