代数

The Schur_Weyl_Brauer duality relation between A,B,C, and D type of Liealgebras and their centralizer algebras, and its quantum version is emphasized.

特别强调了关于A，B，C，D型李代数及其量子情形与其中心代数之间的舒尔魏尔布劳双关性关系。

The relation allows us to evaluate coupling and re_coupling coefficients of the corresponding quantum and classical Lie algebras from the induction and subduction coefficients of their centralizer algebras.

这一关系使我们能够利用相应中心代数的诱导及分导系数计算出经典李代数及其量子情形的耦合与重新耦合系数。

Many of important concepts in the theory of abstract Lie algebras come from classical theory of groups, for example, complete Lie algebras is a generalization of complete groups.

李代数的抽象理论中很多重要的概念都来源于经典群论，完备李代数便是一个例子。

In this paper,some properties of automorphisms of classical Lie algebras was given first and then a classification of conjugacy automorphisms using only the matrix theory was presented.

首先给出了典型李代数自同构的一些性质，接着用矩阵的形式具体给出典型李代数自同构共轭的充要条件，并计算了任意阶自同构的不动点集。

Based on the methods and techniques of covering theory, the structure of module category of tame concealed algebra, one-point extension, vector space category, finite enlargement, degeneration theory, stable equivalence and combinatorial method, we will classify all of the three-point algebras with Gabriel quiver the system quiver Q according to representation type. We get the classification theorem: Let A=kQ/I be a three-point algebra given by the system quiver Q.

本文综合利用覆盖理论，tame concealed代数模范畴的结构，单点扩张，向量空间范畴，有限enlargement，退化理论，稳定等价以及组合的方法等多种方法和技巧，将所有由系统箭图Q给出的三点代数按表示型进行分类，得到如下分类定理：Q是系统箭图，I是kQ的一个admissible理想。

If a poset is explained into a set of propositions in the view of logic,then the algebraic completionis closed for the finite deduction system in logic,therefore,the algebraic completion reflects the logically closed extension of preliminary propositions.

本文考察(来源：A1dBCad论8a文网www.abclunwen.com)这种逼近状态是代数格的情形，一旦偏序关系看作信息的某种逻辑蕴含关系，代数完备的本质是从逻辑上封闭逻辑推理系统。

The problem of when there is a Hopf structure on generalized path coalgebra is settled.

关于一个广义路余代数上什么时候具有Hopf代数结构的问题也被解决。

He is leading a research group 'Algebra and Coalgebra: the mathematical environments of modal logic'.

他当前正主持研究项目"代数和余代数：模态代数的数学环境"。

Corollary 2.6. Let C be a coalgebra of finite dimension . Then T is a coFrobenius coalgebra .

推论2.6。设C是有限维余代数，则T是一个coFrobenius余代数。

And certain q-polynomial coalgebras arisesnaturally,which is a q-deformation of classical polynomial coalgebra.

并且我们自然地引出了一类q-多项式余代数，它是经典多项式余代数的变形。

And discuss some key point of integrated management system design, include hazard identification and risk assessment and risk control in the occupational health and safety management, the measure of satisfaction target of customer, the flawlessness of law system, the integration of the integrated management system and enterprise standardization system, unify lead institution and work orgnization, integreted internal audit and integrated management review.

同时，论述了一体化管理体系构建中的几个主要问题，包括职业健康安全管理中的危险源辨识、风险评价和风险控制、顾客满意度的科学监测、法律、法规体系的完善、一体化管理体系与企业标准化体系的有机结合、统一的领导机构和工作机构、一体化的内部审核和管理评审。

Deepwater Taranaki is investigated for its petroleum potential, using all available seismic data tied to shallow-water wells.

运用与浅水井相关的现有全部震波探测数据考察了深海区塔拉纳基盆地的油藏前景。