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国家自然科学基金(11371088): 作品数：28被引量：3H指数：1; 导出分析报告; 相关作者：张晓辉郭双建王栓宏王圣祥赵晓凡更多>>; 相关机构：东南大学贵州财经大学曲阜师范大学滁州学院更多>>; 相关期刊：《东北师大学报（自然科学版）》《Chinese Annals of Mathematics,Series B》《河南师范大学学报（自然科学版）》《中国科学：数学》更多>>; 相关主题：YETTER-DRINFELDHOPFHOPF代数H-GENERALIZED更多>>; 相关领域：理学电气工程更多>>

Fundamentals of quasigroup Hopf group-coalgebras: 《Journal of Southeast University(English Edition)》2021年第1期114-118,共5页Zhang Senlin Wang Shuanhong; The National Natural Science Foundation of China(No.11371088,11571173,11871144);the Natural Science Foundation of Jiangsu Province(No.BK20171348).; A large class of algebras(possibly nonassociative)with group-coalgebraic structures,called quasigroup Hopf group-coalgebras,is introduced and studied.Quasigroup Hopf group-coalgebras provide a unifying framework for t...; 关键词：Hopf quasigroup group-coalgebra quasigroup Hopf group-coalgebra convolution algebra

Sweedler's dual of Hopf algebras in HHYDQCM: 《Journal of Southeast University(English Edition)》2020年第3期364-366,共3页Zhang Tao Wang Shuanhong; The National Natural Science Foundation of China(No.11371088,11571173,11871144)。; Firstly,the notion of the left-left Yetter-Drinfeld quasicomodule M=(M,·,ρ)over a Hopf coquasigroup H is given,which generalizes the left-left Yetter-Drinfeld module over Hopf algebras.Secondly,the braided monoidal ...; 关键词：Hopf(co)quasigroup Yetter-Drinfeld quasi(co)module braided monoidal category DUALITY

Diagonal crossed product of multiplier Hopf algebras: 《Journal of Southeast University(English Edition)》2020年第2期241-244,共4页Yan Dongdong Wang Shuanhong; The National Natural Science Foundation of China(No.11371088,11571173,11871144);the Natural Science Foundation of Jiangsu Province(No.BK20171348)。; Let A and B be two regular multiplier Hopf algebras.First,the notion of diagonal crossed product B#A of multiplier Hopf algebras is constructed using the bimodule algebra,which is a generalization of the diagonal cros...; 关键词：multiplier Hopf algebra bimodule algebra diagonal crossed product

Yetter-Drinfeld拟模范畴上的Hopf拟模: 《吉林大学学报（理学版）》2020年第2期209-218,共10页张涛; 国家自然科学基金(批准号:11371088,11571173,11871144);江苏省自然科学基金(批准号:BK20171348).; 设L是域k上的一个有双射对极S_L的Hopf拟群.利用对偶的方法证明:如果H是一个Yetter-Drinfeld拟模范畴■上的有限维Hopf拟群,则其线性对偶空间H^*是■上的一个Hopf余拟群,且其Pontryagin对偶空间H^**■H也是一个Hopf拟群;进一步,H^*有一...; 关键词：Hopf(余)拟群 Hopf拟模 Yetter-Drinfeld拟模辫子张量范畴对偶

Galois linear maps and their construction: 《Journal of Southeast University(English Edition)》2019年第4期522-526,共5页Gu Yue Wang Wei Wang Shuanhong; The National Natural Science Foundation of China(No.11371088,11571173,11871144);the Natural Science Foundation of Jiangsu Province(No.BK20171348); The condition of an algebra to be a Hopf algebra or a Hopf(co)quasigroup can be determined by the properties of Galois linear maps.For a bialgebra H,if it is unital and associative as an algebra and counital coassocia...; 关键词：Galois linear map ANTIPODE Hopf algebra Hopf(co)quasigroup

BiHom-H-pseudoalgebras and their constructions: 《Journal of Southeast University(English Edition)》2019年第2期269-272,共4页Shi Guodong Wang Shuanhong; The National Natural Science Foundation of China(No.11371088,11571173,11871144);the Natural Science Foundation of Jiangsu Province(No.BK20171348); The definition and an example of BiHom-associative H-pseudoalgebra are given.A BiHom-H-pseudoalgebra is an H-pseudoalgebra(A,μ)with two mapsα,β∈HomH(A,A)satisfying the BiHom-associative law which generalizes BiHom...; 关键词：BiHom-associative H-pseudoalgebrsa Yau twist tensor product BiHom-associative H-pseudoalgebras

拟Hopf代数上BHQ何时是预辫子monoidal范畴: 《山东大学学报（理学版）》2017年第12期10-15,24,共7页郭双建李怡铮; 国家自然科学基金资助项目(11371088);贵州省科技厅基金项目(J[2014]2045;[2016]1021);贵州省高校优秀科技创新人才支持计划(黔教合KY字[2015]481); 设H为带有可逆对极的拟Hopf代数,B为左拟Yetter-Drinfeld模代数,并且HBQ为拟Hopf Yetter-Drinfeld(H,B)-模范畴。讨论了范畴HBQ何时是预辫子monoidal范畴。假设B是H交换的,则拟Hopf Yetter-Drinfeld模范畴HQ上的辫子诱导出HBQ上的预辫...; 关键词：辫子monoidal范畴拟三角拟Hopf代数拟Yetter-Drinfeld模代数 SMASH积

Construction of a class of H-pseudoalgebras: 《Journal of Southeast University(English Edition)》2017年第4期517-520,共4页Liu Linlin Wang Shuanhong; The National Natural Science Foundation of China(No.11371088);the Natural Science Foundation of Jiangsu Province(No.BK20171348); Let H be a cocommutative Hopf algebra.First,anew class//-pseudoalgebras o f H-pseudoalgebras are definedby changing the regular action(i.e.left multiplication)of Hon itself into an adjoint action.Secondly,a class o f{...; 关键词：cocommutative Hopf algebra H-pseudoalgebra H-pseudoalgebra ( H R) -pseudoalgebra

Turaev辫子群范畴和Doi-Hopf模: 《吉林大学学报（理学版）》2017年第4期771-778,共8页郭双建张晓辉; 国家自然科学基金(批准号:11371088);贵州省科技厅项目基金(批准号:黔科合J字[2014]2045;黔科合基础[2016]1021);贵州省高校优秀科技创新人才支持计划(批准号:黔教合KY字[2015]481);2016年贵州财经大学数学重点学科项目; 设G是一个群.利用Turaev辫子群范畴的性质,在Doi-Hopf数据(H,A,C)上构造一个Turaev辫子G-范畴,其中H,A,C是Hopf代数.进一步,当C为有限维时,在一簇Smash积代数{A#~HC~*(α)}_(α∈G)上构造一个拟三角Turaev G-余代数A#~HC~*,其表示范畴与...; 关键词：DOI-HOPF模 Turaev G-余代数 Turaev辫子G-范畴

Doi-Hopf模范畴中的sovereign结构: 《中国科学：数学》2017年第6期689-702,共14页张晓辉吴慧; 国家自然科学基金(批准号:11371088;11626138和11626139);山东省自然科学基金(批准号:ZR2016AQ03);曲阜师范大学科技计划(批准号:xkj201514)资助项目; 本文研究了Doi-Hopf模范畴中的sovereign结构,引入了sovereign Doi-Hopf数组和Doi-smash积的定义,证明了Doi-smash积的表示范畴与Doi-Hopf模范畴的等价性,并给出了Doi-Hopf模范畴做成sovereign范畴的充要条件.作为应用,研究了Yetter-Dri...; 关键词：HOPF代数 sovereign结构 DOI-HOPF模 Yetter-Drinfeld模

国家自然科学基金(11371088)