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Ribbon Hopf Superalgebras and Drinfel＇d Double

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Chinese Annals of Mathematics,Series B 2018年第6期39卷 1047-1064页

作者： Jialei CHEN shilin YANG College of Applied Sciences Beijing University of Technology Beijing 100124 China

Finite dimensional ribbon Hopf （super） algebras play an important role in constructing invariants of 3-manifolds. In the present paper, the authors give a necessary and sufficient condition for the Drinfel＇d double of a finite dimensional Hopf superalgebra to have a ribbon element. The criterion can be seen as a generalization of Kauffman and Radford＇s result in the non-super situation to the Z2-graded situation, however, the derivation of the result in the Z2-graded case will be much more complicated.

关键词： Hopf superalgebras Drinfel'd double Ribbon element

Quantum superalgebras uq（sl（m│n）） at roots of unity

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Frontiers of Mathematics in China 2012年第4期7卷 607-628页

作者： Jialei CHEN shilin YANG Department of Applied Mathematics Beijing University of TechnologyBeijing 100124China

Finite dimensional Hopf superalgebras Uq （sl（m│n）） corresponding to the Lie superalgebras s[（m│n） are constructed. The PBW type basis and the left and right integrals of uq（sl（m│n）） are obtained. Furtherm... 详细信息

关键词： Hopf superalgebra PBW basis automorphism group

Frobenius Manifolds and a New Class of Extended Affine Weyl Groups of A-type(II)

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Communications in Mathematics and Statistics 2024年第4期12卷 617-632页

作者： shilin Ma Dafeng Zuo School of Mathematical Science University of Science and Technology of ChinaHefei 230026People’s Republic of China

With the help of the local isomorphism between theHurwitz space M0;k−1,l−k−r+1,r−1 and the orbit spaceMk,k+r(Al),we will show the existence of a Frobenius manifold structure on the orbit space Mk,k+r(Al)\r of the ext... 详细信息

关键词： Frobenius manifolds Extended affine Weyl groups

Effects of exercise therapy on bone mineral density in earlypostmenopausal women: a controlled trial

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Frontiers of Medicine 2009年第3期3卷 323-329页

作者： shilin DENG Department of Physical Education Wuhan University of TechnologyWuhan 430070China

The purpose of this article is to determine the effect of a well-designed combined aerobic,resistance,and extension exercise program on bone mineral density(BMD)in postmenopausal *** population comprised 45 postmenopausal women,who exercised over 12 months(exercise group),and 36 women who served as a non-training control *** of the hip,and lumbar spine was measured at the baseline and 12th *** measurement analysis of variance and nonparametric test were utilized to compare differences between the exercise group and ***-six out of 45 persons in the exercise group and 36 controls completed the *** compliance was 82.2%for the whole exercise group at the 12th *** the subjects had decreased BMD,but the rate of bone loss was lower in the exercise group than in the control group at the L4 and *** the exercise program in this study may probably reduce the rate of bone loss in weight-bearing skeletal sites,we do not suggest the exercise by itself be viewed as prevention or treatment for ***,the exact dose-response relationship of exercise and bone mass in early postmenopause is not clear.

关键词： early postmenopausal women bone mineral density exercise effects

Chalcogenides metal-based heterostructure anode materials toward Na^(+)-storage application

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Nano Research 2023年第2期16卷 2347-2365页

作者： Yue Miao Ying Xiao shilin Hu Shimou Chen Beijing Key Laboratory of Electrochemical Process and Technology for Materials College of Materials Science and EngineeringBeijing University of Chemical TechnologyBeijing 100029China

Sodium-ion batteries(SIBs)are promising candidates for future large-scale energy storage systems due to their low cost and high ***,the sluggish kinetics caused by the large radius of Na+impedes the practical application of *** engineering has emerged as an attractive strategy to alleviate this critical issue due to its intriguing contributions to accelerating electrons/ions transfer kinetics,improving structural stability,and enhancing Na^(+)adsorption *** this perspective,in this review,we introduce the vital role of heterostructure on the performance of SIBs *** commonly used approaches for synthesizing chalcogenides metal-based heterostructure anodes are then ***,we discuss the recent progress of various chalcogenides metal-based anodes in ***,we provide a concluding discussion on the current challenges and perspectives of future development of the heterostructure anode materials for high-performance SIBs.

关键词： heterostructure energy storage anode materials sodium-ion batteries

Regional Equity and Influencing Factor of Social Assistance in China

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Chinese Geographical Science 2021年第4期31卷 611-628页

作者： WANG Jiawei YE shilin QI Xinhua State Key Laboratory for Subtropical Mountain Ecology of the Ministry of Science and Technology and Fujian Province Fujian Normal UniversityFuzhou 350007China School of Geographical Sciences Fujian Normal UniversityFuzhou 350007China

Social assistance is the last safety net in the social security system and plays a vital role in poverty alleviation in countries around the world. Promoting the equal financial assistance is meaningful to achieve equalization of social assistance. Based on the provincial panel data from 2002 to 2017, this paper analyzes the dynamic characteristics and main influencing factors of the equity of social assistance in China, using the Theil index and geographically weighted regression(GWR) model. The results suggest that the level of per capita social assistance expenditure(PSAE) in China keeps increasing year by year, but the changes in different regions and provinces are quite different. These changes not only significantly changed the spatial pattern of PSAE in China, but also greatly improved its spatial coupling with the deeply impoverished areas. Further analysis shows that the regional inequality of PSAE between provinces is obvious during the study period, and the inter-regional inequality is significantly higher than the intra-regional *** makes inter-regional inequality become the main source of the regional inequality of PSAE in China for a long time. According to GWR results, there is obvious spatiotemporal heterogeneity in the influence intensity and direction of the per capita financial revenue,urbanization rate, urban unemployment rate, natural disaster-affected area, and transfer payment intensity on the PSAE. The urbanization rate and per capita financial revenue are the main driving factors of PSAE, and the impact intensity of per capita financial revenue tends to strengthen. The remaining three factors have a positive effect on PSAE, but the effect intensity is not high.

关键词： social assistance regional equity spatiotemporal pattern poverty alleviation influencing factors China

Grothendieck rings of a class of Hopf algebras of Kac-Paljutkin type

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Frontiers of Mathematics in China 2021年第1期16卷 29-47页

作者： Jialei CHEN shilin YANG Dingguo WANG College of Mathematics Faculty of ScienceBeijing University of TechnologyBeijing100124China School of Mathematical Sciences Qufu Normal UniversityQufu273165China

We construct the Grothendieck rings of a class of 2n^(2)dimensional semisimple Hopf Algebras H_(2n)^(2),which can be viewed as a generalization of the 8 dimensional Kac-Paljutkin Hopf algebra *** irreducible H_(2n)^(2... 详细信息

关键词： Grothendieck ring Hopf algebra irreducible module

HIV核酸定量检测在“艾滋病一站式诊疗服务”模式中的应用和效果

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中国艾滋病性病 2024年第6期30卷 591-595页

作者：杨涛杨孝敬刘亦菲姚仁敏周彦君杨金星杜仕林黄家艳周顺林元康蔡毅媛王应刚贵州医科大学公共卫生与健康学院环境污染与疾病监控教育部重点实验室贵阳561113 安顺市疾病预防控制中心贵州安顺561000 安顺市普定县人民医院贵州安顺562100

目的探讨HIV核酸定量检测在“艾滋病一站式诊疗服务”模式中的应用效果和可行性,为HIV/AIDS患者早期诊断、早期治疗和科学管理提供参考依据。方法在普定县人民医院开展“艾滋病一站式诊疗服务”模式探索,对HIV初筛有反应血液进行院内... 详细信息

目的探讨HIV核酸定量检测在“艾滋病一站式诊疗服务”模式中的应用效果和可行性,为HIV/AIDS患者早期诊断、早期治疗和科学管理提供参考依据。方法在普定县人民医院开展“艾滋病一站式诊疗服务”模式探索,对HIV初筛有反应血液进行院内核酸定量试验,并将HIV初筛有反应血液送至贵州省疾病预防控制中心进行抗体确证试验,将院内检测结果与复核结果进行比较,以验证核酸定量检测的可行性;同时对“艾滋病一站式诊疗服务”开展前后抗体初筛有反应到抗体确证或核酸定量试验结果的时间间隔、抗体初筛有反应到接受cART时间间隔、30天内接受cART比例进行对比分析。结果对新检测发现的HIV抗体初筛有反应就诊者血液进行核酸定量检测,结果>5 000拷贝/mL占比为94.97%(189/199),≤5 000拷贝/mL占比为4.02%(8/199),≤5 000拷贝/mL后期经随访均为阳性,未检出占比为1.01%(2/199);将HIV初筛有反应血液送至贵州省疾病预防控制中心进行复核,结果阳性197份,阴性2份;院内检测结果与复核结果的一致性较好(Kappa=1,P<0.001),总符合率为100.00%(199/199);核酸定量检测的灵敏度较好,为95.94%(189/197),特异度为100.00%(2/2);“艾滋病一站式诊疗服务”开展前后新报告病例抗体初筛有反应到抗体确证或核酸定量试验结果中位时间由8天缩短至1天、抗体初筛有反应到接受cART中位时间由16天缩短至1天,差异有统计学意义(P <0.001);开展前后新报告病例30天内接受cART比例由68.00%提升至99.49%(196/197),差异有统计学意义(P<0.001)。结论通过HIV核酸定量检测在“艾滋病一站式诊疗服务”模式中的应用,HIV核酸定量检测用于HIV感染诊断的可行性得到了有效验证,可以显著缩短HIV/AIDS患者从检测到治疗的时间,及时接受抗病毒治疗。

关键词：艾滋病病毒核酸定量检测艾滋病一站式诊疗服务应用效果

Representations of deformed preprojective algebras and quantum groups

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Science China Mathematics 2009年第1期52卷 109-118页

作者： YANG shilin LIU JianZhen Department of Applied Mathematics Beijing University of TechnologyBeijing 100024China

Let (Г, I) be the bound quiver of a cyclic quiver whose vertices correspond to the Abelian group ? d . In this paper, we list all indecomposable representations of (θ, I) and give the conditions that those representations of them can be extended to representations of deformed preprojective algebra Пλ(Г, I). It is shown that those representations given by extending indecomposable representations of (Г, I) are all simple representations of Пλ(Г, I). Therefore, it is concluded that all simple representations of restricted quantum group ū q (sl 2) are realized in terms of deformed preprojective algebra.

关键词： preprojective algebra quantum group indecomposable representation 16G20 17B35