Non-Abelian Cohomology of Groups

Following Guin's approach to non-abelian cohomology [4] and, using the notion of a crossed bimodule, a second pointed set of cohomology is defined with coefficients in a crossed module, and Guin's six-term exact cohomology sequence is extended to a nine-term exact sequence of cohomology up to dimension 2     

HIRFL 束流相位测量系统性能的改进

 在研究HIRFL 相位测量系统工作原理的基础上, 用自行设计的电缆电子学长度校正方法校正了探针电缆的长度, 并重新设计了信号预选器和系统控制软件; 利用自行设计的自检系统找出并校正了影响系统测量精度的因素。提高了系统的可靠性和测量精度, 使系统可以投入实际的调束运行。     

高温超导电缆液氮流道试验装置的设计计算

为了进行高温超导电缆冷却通道方式的实验比较 ,确定通道的结构形式 ,获得理论计算的试验值 ,为长距离电缆设计提供实验依据 ,建立了高温超导电缆液氮流道试验装置。文中叙述了流道试验装置的设计指标、系统流程、设计概算、试验装置主要设备设计计算以及调试结果等。     

On Blocks with Nilpotent Coefficient Extensions

For modular group algebras over an arbitrary field we define new type of blocks: blocks with nilpotent extensions, and describe their source algebras. To do it, a general pattern is proposed for relations between the source algebra of a block and the source algebra of a block appearing in its decomposition in a suitable extension of the field of coefficients.     

Associativity of crossed products by partial actions, enveloping actions and partial representations

Given a partial action of a group on an associative algebra , we consider the crossed product . Using the algebras of multipliers, we generalize a result of Exel (1997) on the associativity of obtained in the context of -algebras. In particular, we prove that is associative, provided that is semiprime. We also give a criterion for the existence of a global extension of a given partial action on an algebra, and use crossed products to study relations between partial actions of groups on algebras and partial representations. As an application we endow partial group algebras with a crossed product structure.

     

横向补给系统高架索的稳定性与分岔研究

考虑集中质量对系统动力学行为的影响,建立了横向补给系统高架索振动的理论模型.利用Galerkin方法和多尺度方法对动力学方程进行渐近分析.通过对系统Jacobi矩阵特征值的讨论,分析了系统的稳定性.根据系统渐近解的消除永年项条件,得到了系统的振幅分岔方程.借助Mathematica软件,对系统的局部分岔行为进行研究,得到了系统的转迁集以及相应的局部分岔图,研究表明横向补给系统高架索的振动中存在的多种分岔现象.     

The real rank zero property of crossed product

Let be a unital -algebra, and let be a -dynamical system with abelian and discrete. In this paper, we introduce the continuous affine map from the trace state space of the crossed product to the -invariant trace state space of . If is of real rank zero and is connected, we have proved that is homeomorphic. Conversely, if is homeomorphic, we also get some properties and real rank zero characterization of . In particular, in that case, is of real rank zero if and only if each unitary element in with the form can be approximated by the unitary elements in with finite spectrum, where , , and if moreover is a unital inductive limit of the direct sums of non-elementary simple -algebras of real rank zero, then the above can be cancelled.

     

基于温度补偿的索张力补张拉修正算法

针对大型复杂预应力空间钢结构施工过程中实测索力与目标索力存在较大差值的问题,在已有研究的基础上,基于温度补偿法并结合找形分析算法,提出了补张拉索力修正的计算策略以及数值计算流程.基于ANSYS软件平台,采用初始应变输入与施加温度荷载输入相结合的方法,编制了补张拉索力修正计算模块,用于施工过程中主动索补张拉的修正计算.该修正计算方法可考虑几何非线性、弹性预应力损失以及群索在张拉过程中的相互影响等因素,能保证补张拉过程符合施工和设计对索力精度的要求,可直接用于指导施工过程补张拉,追踪构件在张拉过程中的力学响应.算例结果表明,该方法是用于实际工程预应力补张拉计算的一个实用而有效的方法.     

交叉余积上的弱Hopf代数结构

利用左H-模、弱双代数、交叉积等工具给出了交叉余积成为弱双代数与Hopf代数的充要条件.