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国家自然科学基金(11171296): 作品数：16被引量：5H指数：2; 导出分析报告; 相关作者：叶丽霞吴志祥贾鹏鹏刘纪春李方更多>>; 相关机构：浙江大学浙江外国语学院福建江夏学院浙江农林大学更多>>; 相关期刊：《理论数学》《Science China Mathematics》《河南科技大学学报（自然科学版）》《浙江外国语学院学报》更多>>; 相关主题：ALGEBRAFINITEQUANTUMIVEGRADED更多>>; 相关领域：理学文化科学动力工程及工程热物理更多>>

Restricted Lie 2-algebras: 《Acta Mathematica Sinica,English Series》2018年第6期933-946,共14页Yan TAN Zhi Xiang WU; Supported by ZJNSF(Grant Nos.LY17A010015 and LZ14A010001);NNSF(Grant No.11171296); In this article, we introduce the notions of restricted Lie 2-algebras and crossed modules of restricted Lie algebras, and give a series of examples of restricted Lie 2-algebras. We also construct restricted Lie 2-alg...; 关键词：Restricted Lie 2-algebra crossed module of restricted Lie algebra A（m）-algebra restricted Leibniz algebra restricted right-symmetric algebra

Nichols algebras over weak Hopf algebras: 《Applied Mathematics(A Journal of Chinese Universities)》2018年第1期107-126,共20页WU Zhi-xiang; Supported by ZJNSF(LY17A010015,LZ14A010001);NNSF(11171296),CSC; In this paper, we study a Yetter-Drinfeld module V over a weak Hopf algebra H.Although the category of all left H-modules is not a braided tensor category, we can define a Yetter-Drinfeld module. Using this Yetter-Dri...; 关键词：quantum enveloping algebra Nichols algebra weak Hopf algebra

一些量子Borcherds超代数及其扩张（英文）: 《数学进展》2017年第4期570-582,共13页叶丽霞吴志祥; supported by NSFC(No.11171296);the Foundation of Zhejiang Provincial Educational Committee(No.Y201327644,No.FX2014082);the Natural Science Foundation of Zhejiang Province(No.LQ13A010018,No.LZ14A010001,No.LY15A010002); 设wU是一个关于Borcherds超代数o的弱量子包络代数,H是一个Hopf代数.在代数wU中增加H的类群元素b_(ik),c_(ik),g_(ik),h_(ik)(i∈I,k=1,2,…,m_i),定义了一个扩张超代数HwU,并证明它在一定条件下构成弱Hopf超代数.利用一个Ore集对代数...; 关键词：Borcherds超代数量子包络代数 HOPF代数扩张

The Extension of a Quantized Borcherds Superalgebra by a Hopf Algebra: 《Acta Mathematica Sinica,English Series》2016年第3期363-372,共10页Li Xia YE Zhi Xiang WU; Supported by National Natural Science Foundation of China(Grant No.11171296);the Foundation of Zhejiang Provincial Educational Committee(Grant Nos.Y201327644 and FX2014082);the Natural Science Foundation of Zhejiang Province(Grant Nos.Q13A01005 and LZ14A010001); A two-parameter quantum group is obtained from the usual enveloping algebra by adding two commutative grouplike elements. In this paper, we generalize this procession further by adding commutative grouplike elements b...; 关键词：Borcherds superalgebra Hopf algebra quantized enveloping algebra

On the First Hochschild Cohomology of Admissible Algebras: 《Chinese Annals of Mathematics,Series B》2015年第6期1027-1042,共16页Fang LI Dezhan TAN; supported by the National Natural Science Foundation of China(Nos.11271318,11171296,11401522,J1210038);the Specialized Research Fund for the Doctoral Program of Higher Education of China(No.20110101110010);the Zhejiang Provincial Natural Science Foundation of China(No.LZ13A010001); The aim of this paper is to investigate the first Hochschild cohomology of ad- missible algebras which can be regarded as a generalization of basic algebras. For this purpose, the authors study differential operators ...; 关键词：QUIVER Admissible algebra Differential operators COHOMOLOGY

弱Taft代数: 《河南科技大学学报（自然科学版）》2015年第3期86-89,95,共5页程东明贾鹏鹏周佳惠; 国家自然科学基金项目(11171296); 引入对应于Taft代数的弱Hopf代数,分别刻画了它们的代数结构和余代数结构。作为代数,对应于Taft代数的弱Hopf代数可分解为两个代数的直和,其中一个直和项就是Taft代数。用Ext箭图刻画了这些弱Hopf代数的余代数结构,发现它们都有一个子H...; 关键词：弱HOPF代数 Taft代数 Ext箭图

Graded Hochschild Cohomology of a Path Algebra with Oriented Cycles被引量：1: 《Acta Mathematica Sinica,English Series》2014年第9期1495-1512,共18页Fang LI De Zhan TAN; Supported by the National Natural Science Foundation of China(Grant Nos.10871170 and 11171296);the Zhejiang Provincial Natural Science Foundation of China(Grant No.D7080064); The aim of this paper is to characterize the first graded Hochschild cohomology of a hereditary algebra whose Gabriel quiver is admitted to have oriented cycles. The interesting conclusion we have obtained shows that ...; 关键词：Quiver. genus graded Hochschild cohomology graded Lie algebras oriented cycle

U_(r,t)在量子平面上的模代数结构: 《数学物理学报（A辑）》2014年第3期540-561,共22页洪燕勇吴志祥; 国家自然科学基金(11171296)资助; 当q不是单位根,且所在的域是复数域时,给出了U_(r,t)在量子平面上模代数结构的完全分类,并描述了这些表示.有趣的是,在某些情况下,有C_q[x,y]=∞⊕n=0C_q[x,y]_n,其中C_q[x,y]_n是量子平面的n次齐次部分,同构于U_(r,t)的某种不可约模V_(...; 关键词：HOPF代数量子平面模代数结构 VERMA模

CONSTRUCTING POINTED WEAK HOPF ALGEBRAS BY ORE-EXTENSION: 《Acta Mathematica Scientia》2014年第2期252-262,共11页曹海军李方张棉棉; supported by the National Natural Science Foundation of China(11271318,11171296,and J1210038);the Specialized Research Fund for the Doctoral Program of Higher Education of China(20110101110010);the Zhejiang Provincial Natural Science Foundation of China(LZ13A010001); The main work of this article is to give a nontrivial method to construct pointed semilattice graded weak Hopf algebra from a Clifford monoid S =[Y; Gα. φα,β]by Ore-extensions, and to obtain a co-Frobenius semilat...; 关键词：Semilattice graded weak Hopf algebra Clifford monoid Ore-extension

A Class of Finite-Dimensional Representations of U_q(sl_2): 《Acta Mathematica Sinica,English Series》2013年第9期1703-1712,共10页Dong Ming CHENG Dong SU; Supported by Doctor Scientific Research Start Fund of He’nan University of Science and Technology;National Natural Science Foundation of China (Grant No. 11171296); In order to study a class of finite-dimensional representations of Uq（sl2）, we deal with the quotient algebra Uq （m, n, b） of quantum group Uq（sl2） with relations Kr=1, Emr=b, Fnr=0 in this paper, where q is a r...; 关键词：Quantum group REPRESENTATION root of unity

国家自然科学基金(11171296)