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Finite dimensional irreducible representations of Lie superalgebra D(2,1;α)

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Communications in Theoretical Physics 2024年第2期76卷 14-28页

作者：陈曦杨文力丁祥茂张耀中 College of Intelligent Systems Science and Engineering Hubei Minzu University 445000China Institute of Modern Physics Northwest UniversityXian 710069China Institute of Applied Mathematics Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100080China School of Mathematics and Physics The University of QueenslandBrisbaneQLD 4072Australia

This paper focuses on the finite dimensional irreducible representations of Lie superalgebra D(2,1;α).We explicitly construct the finite dimensional representations of the superalgebra D(2,1;α)by using the shift operator and differential operator *** ordinary Lie algebra representation,there are typical and atypical representations for most ***,its typical and atypical representation conditions are also *** results are expected to be useful for the construction of primary fields of the corresponding current superalgebra of D(2,1;α).

关键词： superalgebra representations shift operator conformal field theory

A Constructive Proof of Beurling-Lax Theorem

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Chinese Annals of Mathematics,Series B 2015年第1期36卷 141-146页

作者： Qiuhui CHEN Tao QIAN Cisco School of Informatics Guangdong University of Foreign Studies Department of Mathematics University of Macao

This paper deals with an alternative proof of Beurling-Lax theorem by adopting a constructive approach instead of the isomorphism technique which was used in the original proof.

关键词： Beurling-Lax theorem shift operator Inner function

MIKUSINSKI＇S　operatorS　SOLUTION　OF　THREE－ORDER　LINEAR　DIFFERENCE　EQUATION　WITH　VARIABLE　COEFFICIENTS

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Applied Mathematics and Mechanics(English Edition) 1994年第1期15卷 71-79页

作者：周之虎 1. Anhui Architectural Industry College Hefei

This paper proceeds the papers [3] [4], we make use of the idea of the variable ,number operators and some concepts and conclusions of the shifting operators serieswith variable coefficients in the operational field of Mikusinski, it is devoted to thesolution of the general three-order linear difference equation with variable,coefficients,and it is also devoted to the better solution .formula for the some special three-orderlinear difference equations with variable coefficients, in addition, we try to provide theidea and method for realizing solution of the more than three-order linear differenceequation with variable coefficients.

关键词： Mikusinski operator shift operator difference equation

THE PROPERTY OF NONWANDERING operator

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Applied Mathematics and Mechanics(English Edition) 1996年第2期17卷 155-161页

作者：田立新卢殿臣 Department of Mathematics and Physics Jiangsu University of Science and Technology 212013 Zhenjiang P. R. China

In this paper. we stady the nonwandering operator, which is a linear operator with chaos character and is in intnite dimensionol linear space. We give the hypercyclic bacomposition on the compact set of nonwandering o... 详细信息

关键词： shift operator hypercyclic operator nonwandering operator

Some Results behind Dividend Problems

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Acta Mathematicae Applicatae Sinica 2006年第4期22卷 681-686页

作者： Ming Zhou Li Wei Jun-yi Guo School of Mathematical Science Nankai University Tianjin 300071 China School of Finance Renmin University of China Beijing 100872 China

We consider the basic dividend problem of the compound Poisson model with constant barrier strategy. Some results concealed behind the dividend problem are made explicit in the present work. Different methods and some of which are firstly given in this paper. All these results presented certain direct relationship between some important actuary variables in classical risk theory is also revealed.

关键词： Compound Poisson process discount dividend payments integro-differential equation change of measure shift operator

Bellman Equation for Optimal Processes with Nonlinear Multi-Parametric Binary Dynamic System

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Computer Technology and Application 2012年第1期3卷 84-87页

作者： Yakup H. Hacl Kemal Ozen Department of Mathematics Faculty of Sciences and Arts Canakkale Onsekiz Mart University Canakkale 17100 Turkey Department of Mathematics Faculty of Sciences and Letters istanbul Technical University istanbu134469 Turkey Department of Mathematics Faculty of Sciences and Arts Namlk Kemal University Tekirda~ 59030 Turkey

A process represented by nonlinear multi-parametric binary dynamic system is investigated in this work. This process is characterized by the pseudo Boolean objective functional. Since the transfer functions on the process are Boolean functions, the optimal control problem related to the process can be solved by relating between the transfer functions and the objective functional. An analogue of Bellman function for the optimal control problem mentioned is defined and consequently suitable Bellman equation is constructed.

关键词： Bellman equation bellman function galois field shift operator nonlinear multi-parametric binary dynamic system