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秩1量子群的有限维表示的扩张与诱导模的零化性质 被引量:2
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作者 柏元淮 《数学年刊(A辑)》 SCIE CSCD 北大核心 1993年第6期732-738,共7页
量子群表示的扩张归结为秩1群的扩张。本文研究了秩1量子群有限维表示的扩张结构和诱导模的零化性质,给出了有限维U_k^b表示扩张成U_k表示的充要条件。对任一有限维U_k^b模V,给出了诱导模H_K^0(V)是非零的充要条件。
关键词 量子群 扩张 有限维表示 诱导模
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3-李代数A_(w)^(δ)的模与诱导模 被引量:1
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作者 白瑞蒲 马越 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2021年第3期8-16,共9页
对特征零域F上无限维单3-李代数A_(w)^(δ),构造了两类A_(w)^(δ)的无限维中间序列模(V,ρλ,0)=Tλ,0与(V,ρλ,1)=T_(λ,1)和一类无限维ad(A__(w)^(δ))-模(V,ψ_(λ,μ)),其中λ,μ∈F,并对3-李代数A_(w)^(δ)-模与诱导模之间的关系... 对特征零域F上无限维单3-李代数A_(w)^(δ),构造了两类A_(w)^(δ)的无限维中间序列模(V,ρλ,0)=Tλ,0与(V,ρλ,1)=T_(λ,1)和一类无限维ad(A__(w)^(δ))-模(V,ψ_(λ,μ)),其中λ,μ∈F,并对3-李代数A_(w)^(δ)-模与诱导模之间的关系进行了研究.证明了只有两类无限维模(V,ψ_(λ,1))和(V,ψ_(λ,0))是诱导模. 展开更多
关键词 3-李代数- 诱导模 中间序列
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阶化Cartan型李代数的诱导模及其扩张的一点注记(英文)
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作者 黄慧 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第3期90-99,共10页
在广义限制李代数的意义下,证明了W,S,H型系列的阶化Cartan型李代数的"修正"诱导模为余诱导模.得到了诱导模和余诱导模之间的关联,从而推广了Rolf Farnsteiner和Helmut Strade在限制李代数情形下关于诱导模与余诱导模之间的关... 在广义限制李代数的意义下,证明了W,S,H型系列的阶化Cartan型李代数的"修正"诱导模为余诱导模.得到了诱导模和余诱导模之间的关联,从而推广了Rolf Farnsteiner和Helmut Strade在限制李代数情形下关于诱导模与余诱导模之间的关联.进而证明了W,S,H型系列的阶化Cartan型李代数的所有具有广义特征标高度不超过某个界的不可约非例外单模均为余诱导模.应用此结论以及Rolf Farnsteiner关于上同调的结果,最后进一步得到了一些有关W,S,H型系列的阶化Cartan型李代数单模之间的扩张的结论. 展开更多
关键词 广义限制李代数 CARTAN型李代数 诱导模 诱导模 扩张
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诱导代数序乘法基与诱导右模序基
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作者 韩德 《北京师范大学学报(自然科学版)》 CAS CSCD 北大核心 2002年第3期293-300,共8页
通过 2个代数之间存在着的同态关系 ,借助一个代数具有Gr bnerGr bner基理论 ,而构造了另一个代数在一定条件下也具有Gr bner基理论 .同时还讨论了给定一个右R 模M ,并且M具有右Gr bner基理论 ,对于M的子模N ,N的什么性质是使右R 商模M/... 通过 2个代数之间存在着的同态关系 ,借助一个代数具有Gr bnerGr bner基理论 ,而构造了另一个代数在一定条件下也具有Gr bner基理论 .同时还讨论了给定一个右R 模M ,并且M具有右Gr bner基理论 ,对于M的子模N ,N的什么性质是使右R 商模M/N具有右Gr bner基理论的充分必要条件 . 展开更多
关键词 相邻2-项式 uniform元 有序基 Groebner基理论 K-代数 同态映射 诱导代数序乘法基 诱导序基
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模李代数的Ext-转移(英文)
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作者 李宜阳 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2015年第1期1-5,共5页
令G为素特征代数闭域上简约连通的代数群,g是G的李代数.本文研究,当p特征x具有标准Levi型时,g表示的Ext上同调群.得到了g模到其Levi子代数的模上的Ext转移.
关键词 标准Levi型 诱导模 诱导模 Ext群
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多重Loop李代数的Weyl模
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作者 常学武 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第1期1-5,共5页
设g为任意有限维复单李代数及Aν=C[t1±1,…,tν±]为ν个交换变量的Laurent多项式环.令L(g)=g C[t1±1,…,tν±]为多重Loop李代数.考虑L(g)上的Weyl模,证明了这类模都是有限维的,并且在适当的条件下证明了由一个元... 设g为任意有限维复单李代数及Aν=C[t1±1,…,tν±]为ν个交换变量的Laurent多项式环.令L(g)=g C[t1±1,…,tν±]为多重Loop李代数.考虑L(g)上的Weyl模,证明了这类模都是有限维的,并且在适当的条件下证明了由一个元素生成的多重Loop代数的模一定是Weyl模的同态像.最后给出了Weyl模的一个张量积分解. 展开更多
关键词 多重Loop代数 WEYL 诱导模
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AgL(m,n)的gL(m,n)模结构
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作者 戴桂生 《数学年刊(A辑)》 CSCD 北大核心 1990年第5期600-606,共7页
设g=g-1+g0+g1是由阶化向量空间V=V0+V1的线性变换所构成的李超代数。通过上诱导模,定义了外代数Λ(g1)的g模结构,这儿g1=V1×V0^*,并决定了它的全部子(g0+g1),(g0+g-1)、g模。
关键词 结构 李超代数 VERMA 线性变换 诱导模
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模糊含度与模糊分布 被引量:1
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作者 汪培庄 《北京师范大学学报(自然科学版)》 CAS 1980年第1期21-30,共10页
M.Sugeno和T.Terano在74年提出模糊测度与模糊积分,为模糊数学提供了一个新工具。文章[2]表现了这一工具在刻划模糊系统方面的魅力。“模糊数学所面临的主要困难,是缺少一种强有力的数学工具,这种数学工具对模糊数学的重要性,就像测度... M.Sugeno和T.Terano在74年提出模糊测度与模糊积分,为模糊数学提供了一个新工具。文章[2]表现了这一工具在刻划模糊系统方面的魅力。“模糊数学所面临的主要困难,是缺少一种强有力的数学工具,这种数学工具对模糊数学的重要性,就像测度论对于概率论的重要性一样”,模糊测度与积分的提出,给这一困难任务的解决带来了一定的希望。在此基础上,本文企图进一步回答如下两个问题: 展开更多
关键词 糊测度 糊分布 测度论 糊子集 可测空间 扩张定理 数学工具 截集 隶属函数 诱导模
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Characterization and synthetic biology elements of nonmodel bacteria,Acetobacteraceae
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作者 Yanmei Gao 《中国科学技术大学学报》 CAS CSCD 北大核心 2024年第9期55-67,70,共14页
Acetobacteraceae has garnered significant attention because of its unique properties and the broad applications of the bacterial cellulose it produces.However,unlike model strains,Acetobacteraceae have few synthetic b... Acetobacteraceae has garnered significant attention because of its unique properties and the broad applications of the bacterial cellulose it produces.However,unlike model strains,Acetobacteraceae have few synthetic biology applications because they are difficult to manipulate genetically and have insufficient genetic regulatory elements,among other factors.To address this limitation,this study characterized the fundamental properties and synthetic biology elements of three commonly used bacterial cellulose-producing strains.First,the basic characteristics of the three strains,including their cellulose film production ability,division time,antibiotic susceptibility,and plasmid features,were analyzed.Two inducible promoters(pTrc and pLux101)were subsequently characterized within the three strains.The inducibility of the pTrc promoter was relatively low across the three strains(induction ratio:1.98–6.39),whereas the pLux101 promoter demonstrated a significantly greater level of inducibility within the three strains(induction ratio:87.28–216.71).Finally,through gene knockout experiments,this study identified four genes essential for bacterial cellulose film production in the genome of the Gluconacetobacter hansenii ATCC 5358 strain.This study not only enriches the library of synthetic biology elements in nonmodel strains,but also lays the foundation for the synthetic biology applications of Acetobacteraceae. 展开更多
关键词 synthetic biology ACETOBACTERACEAE bacterial cellulose inducible promoter nonmodel bacteria
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Rock burst induced by roof breakage and its prevention 被引量:12
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作者 何江 窦林名 +2 位作者 曹安业 巩思园 吕建为 《Journal of Central South University》 SCIE EI CAS 2012年第4期1086-1091,共6页
Based on the research on rock burst phenomenon induced by the breakage of thick and hard roof around roadways and working faces in coal mines, a criterion of rock burst induced by roof breakage (RBRB) was proposed a... Based on the research on rock burst phenomenon induced by the breakage of thick and hard roof around roadways and working faces in coal mines, a criterion of rock burst induced by roof breakage (RBRB) was proposed and the model was built. Through the model, a method calculating the varied stresses induced by roof breakage in support objects and coal body was proposed and a unified formula was derived for the calculation of stress increment on support objects and coal body under different breaking forms of roof. Whilst the formula for calculating dynamic load was derived by introducing dynamic index Kd. The formula was verified in Huating Mine by stress measurement. According to the formula for stress increment calculating, the sensitivities of dynamic load parameters were further studied. The results show that the thickness and breaking depth of roof, width of support objeet are the sensitive factors. Based on the discussion of the model, six associated effective methods for rock burst prevention are obtained. 展开更多
关键词 roof breakage dynamic load stress increment rock burst mining engineering
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Preparation and growth mechanism of plate-like basic magnesium carbonate by template-mediated/homogeneous precipitation method 被引量:6
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作者 CHEN Juan HUANG Zhi-liang +2 位作者 CHEN Chang-lian LI Wen-zhao XU Wei-rong 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第4期729-735,共7页
In order to expand the application of the basic magnesium carbonate in the field of flame retardant,the plate-like basic magnesium carbonate(Mg5(CO3)4(OH)2.4H2O)was prepared successfully by template-mediated/homogeneo... In order to expand the application of the basic magnesium carbonate in the field of flame retardant,the plate-like basic magnesium carbonate(Mg5(CO3)4(OH)2.4H2O)was prepared successfully by template-mediated/homogeneous precipitation method,using magnesium chloride hexahydrate(MgCl2.6H2O)and urea(CO(NH2)2)as reaction materials.Phase and morphology of the product were characterized by X-ray diffraction(XRD),scanning electron microscope(SEM)and atomic force microscope(AFM),respectively.The results showed that well-crystallized plate-like Mg5(CO3)4(OH)2.4H2O can be prepared at the water bath temperature of 100°C,water bath time of 24 h,the aging time of 5 h after adding organic template agent.The investigation on organic template mediated mechanism shows that the template affects the crystal morphology by changing surface energy of different crystal plane.Through a preliminary study on the growth mechanism of the product,it is found that the generation of the plate-like Mg5(CO3)4(OH)2.4H2O could be explained by two-dimensional nucleation/step growth mechanism. 展开更多
关键词 plate-like basic magnesium carbonate template-mediated/homogeneous precipitation two-dimensional nucleation step growth
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Tri-level programming model for combined urban traffic signal control and traffic flow guidance 被引量:2
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作者 SUN Zhi-yuan LU Hua-pu QU Wen-cong 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第9期2443-2452,共10页
In order to balance the temporal-spatial distribution of urban traffic flow, a model is established for combined urban traffic signal control and traffic flow guidance. With consideration of the wide use of fixed sign... In order to balance the temporal-spatial distribution of urban traffic flow, a model is established for combined urban traffic signal control and traffic flow guidance. With consideration of the wide use of fixed signal control at intersections, traffic assignment under traffic flow guidance, and dynamic characteristics of urban traffic management, a tri-level programming model is presented. To reflect the impact of intersection delay on traffic assignment, the lower level model is set as a modified user equilibrium model. The middle level model, which contains several definitional constraints for different phase modes, is built for the traffic signal control optimization. To solve the problem of tide lane management, the upper level model is built up based on nonlinear 0-1 integer programming. A heuristic iterative optimization algorithm(HIOA) is set up to solve the tri-level programming model. The lower level model is solved by method of successive averages(MSA), the middle level model is solved by non-dominated sorting genetic algorithm II(NSGA II), and the upper level model is solved by genetic algorithm(GA). A case study is raised to show the efficiency and applicability of the proposed modelling and computing method. 展开更多
关键词 traffic engineering traffic signal control traffic flow guidance tri-level programming model
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Simulation of thermal field induced by concave spherical transducer in multi-layer media 被引量:5
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作者 丁亚军 钱盛友 廖志远 《Journal of Central South University》 SCIE EI CAS 2013年第11期3166-3170,共5页
High intensity focused ultrasound(HIFU)therapy is an effective method in clinical treatment of tumors,in order to explore the bio-heat conduction mechanism of in multi-layer media by concave spherical transducer,tempe... High intensity focused ultrasound(HIFU)therapy is an effective method in clinical treatment of tumors,in order to explore the bio-heat conduction mechanism of in multi-layer media by concave spherical transducer,temperature field induced by this kind of transducer in multi-layer media will be simulated through solving Pennes equation with finite difference method,and the influence of initial sound pressure,absorption coefficient,and thickness of different layers of biological tissue as well as thermal conductivity parameter on sound focus and temperature distribution will be analyzed,respectively.The results show that the temperature in focus area increases faster while the initial sound pressure and thermal conductivity increase.The absorption coefficient is smaller,the ultrasound intensity in the focus area is bigger,and the size of the focus area is increasing.When the thicknesses of different layers of tissue change,the focus position changes slightly,but the sound intensity of the focus area will change obviously.The temperature in focus area will rise quickly before reaching a threshold,and then the temperature will keep in the threshold range. 展开更多
关键词 multi-layer media concave spherical transducer high intensity focused ultrasound thermal field
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