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SUPER HYPERBOLIC TYPE KAC-MOODY LIEALGEBRA

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Systems Science and Mathematical Sciences 1997年第4期10卷 329-332页

作者： CHEN hongji(department of mathematics, Huizhou university, Huizhou, Guangdong 516015, china)LIU Bin(department of mathematics, east china normal university, shanghai 200062, china)

In this paper we give the definition of super hyperbolic type Kac-MoodyLie algebra and discuss its imaginary roots systems. Finally, we give the necessary andsufficient condition for Cartan matrices to be of super hyp... 详细信息

关键词： Super hyperbolic type affine type finite type hyperbolic type Kac-Moody Lie algebra.

Functors of the Category of Abelian Sheaves on Regular Affine Scheme

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Acta Mathematica Sinica,English Series 1996年第4期12卷 413-414页

作者： Zhou Caijun department of mathematics shanghai normal university shanghai, 200234 china department of mathematics Shanghai Normal University Shanghai China

In this short paper, we prove that if R is a regular local ring of unequal characteristic, then there exists an additive covariant functor G from the category of abelian sheaves on SpecR to the category of abelian groups such that id_R(G(R))>dimG(R). This result shows that the answer to the question 3.8 (ii) in [3] may be negative.

关键词： Affine scheme Abelian sheaf Additive covariant functor

A SURGERY REPRESENTATION OF 3-DIMENSIONAL HOMOLOGY SPHERES

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Chinese Annals of mathematics,Series B 1997年第4期18卷 435-438页

作者： ZHOU QING Institute of mathematics,east china normal university,shanghai 200062,china Project supported by the National Natural Science Foundation of china SEDC and the Hok Ying Tong Eduction Foundation. Institute of mathematics East China Normal University Shanghai 200062 China

It is proved that for any 3 dimensional homology sphere M, there is a sequence of homology spheres M 0, M 1,…, M s such that M 0=S 3, M s=M and each M i is a result of ±1 surgery of M i... 详细信息

关键词： dimensional homology sphere Surgery Knot

Lie bialgebras of generalized Witt type

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Science china mathematics 2006年第4期49卷 533-544页

作者： SONG Guang’ai & SU Yucai College of mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, china department of mathematics, university of Science and Technology of china, Hefei 230026, china department of mathematics, shanghai Jiaotong university, shanghai 200240, china College of mathematics and Information Science Shandong Institute of Business and Technology Yantai China department of mathematics Shanghai Jiaotong University Shanghai China department of mathematics University of Science and Technology of China Hefei China

In this paper, all Lie bialgebra structures on the Lie algebras of generalized Witt type are considered. It is proved that, for any Lie algebra W of generalized Witt type, all Lie bialgebras on W are the coboundary triangular Lie bialgebras. As a by-product, it is also proved that the first cohomology group H1(W, W(?)W) is trivial.

关键词： Lie bialgebras, Yang-Baxter equation, Lie algebra of generalized Witt type.

A RESEARCH ON URBAN RECREATIONISTS' TRAVELING BEHAVIORS IN shanghai

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Journal of Geographical Sciences 1996年第1期6卷 26-35页

作者： Wu Bihu(department of Tourism Studies, east china normal university, shanghai 200062People’s Republic of china) department of Tourism Studies East China Normal University Shanghai 200062 China

Urban recreationists consist of those who have used urban recreational facilities, no matter they are local residents or nonlocals. Traveling models will exert impacts not only on the use of urban recreational facilities but also on the development and management of recreational resources. Taking shanghai as a sample of destinaton and origin of urban recreationists, the author did his study based on data from comprehensive travel measurement and users' survey, including field questionnaire survey, mailing questionnaire survey, home survey, and cordon monitonng. To analyze traveing models of urban recreationists in shanghai, the author used techniques of Recreational Activity Space (RAS) and the Use Curve (UC) Analysis. Rogarding shanghai as an origin, the author first discussed types and characteristics of the RASs which are presented by isotourist lines in the proper and outskirts of shanghai, the Yangtze Delta and the china's Mainland respectively. These RASs reflect the trave directional bias of shanghainese. Then the author regarded shanghai as a deshnahon and analyzed the RASs of tounsts from Otier provinces, which demonstrated the attractiveness of and distance decay of shanghai. He found that a U-shaped UC model existed in the distance decay under the influence of attractiveness and distance. Finally, the author suggested, that the availability, periodicity and attractiveness, besides distance, are the basic mechanisms that affect the urban recreationists' traveling models in a city such as shanghai.

关键词： shanghai recreationist traveling behavior recreational activity space,use curve

AN EXTREMAL APPROACH TO BIRKHOFF QUADRATURE FORMULAS

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Journal of Computational mathematics 2001年第5期19卷 459-466页

作者： Ying-guang Shi (department of mathematics, Hunan normal university, changsha 410081, china) 湖南师范大学湖南长沙 410081

Discusses an extremal problem with Birkhoff interpolation constraints. Quadrature formula derived from an extremal problem; Overview of auxiliary lemmas; Derivation of some properties of polynomials.

关键词： an extremal approach Birkhoff quadrature formulas

GENERAL CAUCHY PROBLEM FOR THE LINEAR SHALLOW-WATER EQUATIONS ON AN EQUATORIAL BETA-PLANE

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Journal of Hydrodynamics 2006年第3期18卷 303-309页

作者： SHEN Chun SHI Wei-hui School of mathematics and Information Yantai Normal University Yantai 264025 China shanghai Institute of Applied mathematics and Mechanics Shanghai University Shanghai 200072 China department of mathematics Shanghai University Shanghai 200444 China

Based on the theory of stratification, the well-posedness of the initial value problem for the linear shallow-water equations on an equatorial beta-plane was discussed. The sufficient and necessary conditions of the existence and uniqueness for the local solution of the equations were presented and the existence conditions for formal solutions of the equations vere also given. For the Cauchy problem on the hyper-plane {t = O}, the local analytic solution were worked out and a special case was discussed. Finally, an example was used to explain the variety of formal solutions for the ill-posed problem.

关键词： stratification initial value problem,well-posedness shallow-water equations

Boundedness for commutators of fractional Hardy operators on Herz spaces

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Progress in Natural Science:Materials International 2007年第1期17卷 20-25页

作者： FU Zunwei, LIU Zongguang and lu Shanzhen ( School of Mathematical Sciences, Beijing normal university, Beijing 100875, china department of mathematics, Linyi normal university, Linyi 276005, china department of mathematics, china university of Mining and Technology, Beijing 100083, china) School of Mathematical Sciences Beijing Normal University Beijing 100875 China department of mathematics Linyi Normal University Linyi 276005 China department of mathematics China University of Mining and Technology Beijing 100083 China

Some boundedness results are established for commutators generated by classical fractional Hardy operators and one-sided CMO functions on the homogeneous Herz spaces, which extends some known results.

关键词： fractional Hardy operator Hardy’s integral inequality commutator one-sided CMO function homogeneous Herz space.

Pairing problem of generators in Kac-Moody algebras

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Chinese Science Bulletin 1998年第22期43卷 1872-1879页

作者： lu Caihui department of mathematics, Capital normal university, Beijing 100037, china department of mathematics Capital Normal University Beijing China

The following result is proved: in any Kac Moody algebra g(A) , (ⅰ) given any non central element h in the Cartan subalgebra  , or (ⅱ) given any real root vector x β, β∈Δ re . There exists y∈g(A) such that th... 详细信息

关键词： generator root system real root vector.