The structure and the representations of the derivation Lie algebras over the quantum torus

It is well known that affine Kac-Moody algebras and theirrepresentations play important roles in many branches in bothmathematics and theoretical physics. Affine Kac-Moody algebras canbe viewed as certain central extensions of the Lie algebras ofpolynomial maps of an one dimensional torus into finitedimensional simple Lie algebras over the field of complex numbers.That is, they used Laurent polyno...学位：理学博士院系专业：数学系_基础数学学号：B20022300

拟遗传代数的好模范畴

用图表示范畴的两个子范畴rep ≤1 ( Q , I) 和rep ≤ 2 ( Q , I) 及其性质,刻划了拟遗传代数的好模范畴,余好模范畴及特征模. 主要结论给出了A ∈rep ≤ 1 ( Q , I) 及F(Δ) = rep ≤1 ( Q , I) 的刻划及其对偶结论.国家自然科学基金资助,福建省教育厅科研基

量子环面上斜导子李代数的表示

记L 为量子环面上的斜导子李代数, 本文构造了一族从sl2-模到L-模的函子玲, 并对L-模叮(V ) 的结构进行了完全刻画。最后给出了L 一模狱(V ) 与碟(W) 同构的充分必要条件.国家自然科学基金(N o . 1 0 7 1 0 6 1) , 漳州师范学院科研基

量子环面上一类导子李代数的结构和自同构群

本文研究量子环面上的一类导子李代数, 它包含了∗ +, −. /, /0 1+ 23 代数及其4 类似( 首先证明了这类导子李代数之间的同构一定是分次同构, 并进一步给出了代数同构的充要条件及同构映射的具体表达式, 最后确定了该类李代数的自同构群 (国家自然科学基金（NO.10371100) 福建省教育厅基金（NO.04303） 漳州师范学院科研基金(NO.03003

Correlation analysis between bone metabolism and blood stasis in perimenopausal women

目的探讨围绝经期女性骨代谢状况与"血瘀"的关联性。方法 132例符合纳入标准的围绝经期女性按年龄每5岁为一组,分为4组,采用电化学发光法检测不同阶段Ⅰ型胶原氨基端前肽(PINP)、Ⅰ型胶原羧基端肽β特殊序列(β-CTX)、骨钙素N-端中分子片段(N-MID)等骨代谢指标,同时检测血液流变学指标,并对其进行"血瘀"量化评分、甲襞微循环评分,相关数据采用多元回归等统计学进行分析。结果 PINP与全血中切粘度、血瘀量化评分、甲襞微循环评分存在显著的正相关(P<0.01);β-CTX与血瘀量化评分、甲襞微循环评分存在显著的正相关(P<0.01),与红细胞电泳时间存在显著负相关(P<0.01),与全血低切粘度、红细胞刚性指数存在正相关(P<0.05);N-MID与全血中切粘度、血瘀量化评分、甲襞微循环评分存在显著正相关(P<0.01)与全血低切粘度存在正相关(P<0.05)。结论围绝经女性骨代谢状况与"血瘀"关系密切,血瘀是导致围绝经女性骨代谢状况发生变化而发生骨质疏松的重要因素之一。Objective To discuss the correlation between bone metabolism and blood stasis in perimenopausal women. Me thods132 cases of perimenopausal women meeting the inclusion criteria were divided into 4 groups by every 5-year age. Type I collagen amino-terminal propeptide( PINP),carboxy-terminal peptide β special sequence( β-CTX),and molecular osteocalcin N- terminal fragment( N-MID) were detected with electrochemical luminescence at different stages. Blood rheology,blood stasis quantitative score,and microcirculation score were simultaneously detected. Data were analyzed using multiple regression method. Re sults PINP was positively correlated with shear viscosity of whole blood,blood stasis quantitative score,and microcirculation score( P <0. 01). β-CTX was positively correlated with blood stasis quantitative score,microcirculation score,lowshear whole blood viscosity,and erythrocyte rigidity index( P < 0. 01),but was negatively correlated with erythrocyte electrophoresis time( P <0. 01). N-MID was positively correlated with whole blood viscosity,blood stasis quantitative score,microcirculation score( P <0. 01),and lowshear whole blood viscosity( P < 0. 05). Conclusion Bone metabolism and blood stasis are closely related in perimenopausal women. Blood stasis is one of the important factors leading to osteoporosis and change of bone metabolism in perimenopausal women.福建省医学创新课题(2012-CXB-26);; 福建省中医药课题(WST201205

Relationship between BMI,WHR and brachial arterial vasodilation function of middle-aged patients with impaired glucose tolerance

探讨体重指数(bMI)、腰臀比(WHr)与中年糖耐量减低(IgT)者血管内皮功能的关系。行标准75g口服葡萄糖耐量试验(75gOgTT),诊断为IgT者101例,年龄在45-59岁。对研究对象检测bMI、WHr、肱动脉血流介导的内皮依赖性血管舒张功能(以△dIA-P%表示)、硝酸甘油介导的非内皮依赖性血管舒张功能(以△dIA-n%表示)、C-型利钠肽(CnP)、内皮素-1(ET-1)、OgTT2H血糖、空腹血糖及胰岛素,计算胰岛素抵抗指数(HOMA-Ir),并进行统计学分析。bMI、WHr与空腹血糖、Og-TT2H血糖、空腹胰岛素、HOMA-Ir、ET-1、CnP、△dIA-P%具有相关性,而且bMI与△dIA-n%具有相关性。bMI正常、超重与肥胖三组比较,正常组与肥胖组之间ET-1、CnP、△dIA-P%、△dIA-n%、空腹血糖、OgTT2H血糖、空腹胰岛素和HOMA-Ir均具有显著性差异,而超重组与肥胖组之间ET-1、空腹血糖、OgTT2H血糖、空腹胰岛素、HOMA-Ir具有显著性差异。WHr正常与异常二组比较,空腹血糖、OgTT2H血糖、空腹胰岛素、HOMA-Ir、ET-1、CnP、△dIA-P%具有显著性差异。中年IgT者血管内皮功能、糖代谢及胰岛素敏感性受体脂含量、体脂分布的影响,bMI、WHr与血管内皮功能障碍、胰岛素抵抗、糖代谢异常之间存在相关性,而且二者与胰岛素抵抗、糖代谢异常的相关性较血管内皮功能障碍的相关性大,腹型肥胖是胰岛素抵抗的重要相关因素。The purpose of this study was to discuss the relationship between MI,WHR and vascular endothelium function of middle-aged patients with impaired glucose tolerance.101 persons diagnose4d as IGT,aged between 45-59 were detected on BMI,WHR,△Dia-P%,△Dia-N%,CNP,ET-1,OGTT2h glucose,fasting blood glucose and insulin after taking 75gOGTT.HOMA-IR was caculated and statistics was analyzed.The result showed that BMI and WHR had relationship with BMI,WHR,△Dia-P%,ET-1,OGTT2h glucose,fasting blood glucose,fasting insulin,CNP and HOMA-IR,and BMI had relationship whith △Dia-N%.Compared with those of the overweight group and obesity group,ET-1,CNP,△Dia-P%,△Dia-N%,fasting blood glucose,OGTT2h glucose,fasting insulin and HOMA-IR were different between the normal group and the obesity group.ET-1,fasting blood glucose,OGTT2h glucose,fasting insulin and HOMA-IR were significantly different between overweight group and obesity group.The comparison of fasting blood glucose,OGTT2h glucose,fasing insulin,HOMA-IR,ET-1,CNP and △Dia-P% were different between normal WHR and abnormal WHR.It was concluded that the percentage of body fat and distribution of body fat influenced vascular endothelium function,glucose metabolism and insulin sensitivity of middle-aged patients with impaired glucose tolerance.BMI and WHR were related to vascular endothelium dysfunction,insulin resistance,abnormal glucose metabolism.福建省自然科学基金资助项目(X0850028/2008J0272

The Category of Good Modules over Quasi2hereditary Algebra

摘要: 用图表示范畴的两个子范畴rep ≤ 1 ( Q , I) 和rep ≤ 2 ( Q , I) 及其性质,刻划了拟遗传代数的好模范畴,余好模范畴 及特征模. 主要结论给出了A ∈rep ≤ 1 ( Q , I) 及F(Δ) = rep ≤ 1 ( Q , I) 的刻划及其对偶结论. Abstract : Using two kinds of subcategories of the categories of representation of quivers , rep ≤ 1 ( Q , I) and rep ≤ 2 ( Q , I) , and their properties , we discuss some properties of the category of good modules , the category of cogood modules , and the characteristic module of A ∈rep ≤ 1 ( Q , I) quasi2hereditary algebra. As the main result , we give the characterization of A ∈rep ≤ 1 ( Q , I) and F(Δ) = rep ≤ 1 ( Q , I) and their dual results.国家自然科学基金资助项目(10071062) ,福建省教育厅科研基金资助项目(JB00201

The Automorphism Group of Skew Derivation Lie Algebra over Quantum Tori

摘要: Kirkman ,Procesi ,Small 等人计算了量子环面Cq [ X , Y , X - 1 , Y - 1 ]的导子和它的自同构群. 特别令人感兴趣的是姜 翠波和孟道冀所做的关于Cq [ X , Y , X - 1 , Y - 1 ]的导子李代数(即Virasoro2like 代数的q2类似) 以及Virasoro2like 代数的导 子李代数及其自同构群的相关结果. 他们清楚的刻画了自同构群的结构. 受前述工作的启发,我们研究了量子环面上斜导 子李代数上的自同构群的结构,并显式的给出了其自同构的具体表达式. 这样本文就推广了姜和孟的主要结果. Abstract : Kirkman E ,Procesi C and Small L A computed the derivations of Cq [ X , Y ] and the automorphism group of C1 [ X , Y , X - 1 , Y - 1 ]. What is the most interesting to us is the work of Jiang Cuibo and Meng Daoji ,they studied the Virasoro2like algebra and it s q2analog’s automorphism groups ,and found that they have the same st ructure. It’s known ,Viraso2like algebra and it s q2analog can be regarded as two special cases of skew derivation Lie algebra of quantum toridal. In this paper ,we will study the st ructure of this kind of Lie algebra ,and obtained the formula of the automorphism.国家自然科学基金(10371100) ,漳州师范学院科研基金 资