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PERMUTATION: 作品数：181被引量：137H指数：6; 导出分析报告; 相关作者：黄群林洁梅陈平雁钱俊赵佳因更多>>; 相关机构：南方医科大学北京城市学院空军军医大学（第四军医大学）上海大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划福建省自然科学基金国家教育部博士点基金更多>>

Permutation orbifolds of vertex operator superalgebras and associative algebras: 《Science China Mathematics》2025年第1期19-38,共20页Chongying Dong Feng Xu Nina Yu; supported by National Natural Science Foundation of China(Grant Nos.11971396,12131018 and 12161141001).; Let V be a vertex operator superalgebra and g=(12···k)be a k-cycle which is viewed as an automorphism of the tensor product vertex operator superalgebra V^(■k).In this paper,we construct an explicit isomorphism fr...; 关键词：permutation orbifold vertex operator superalgebra Zhu algebra

Coupling Product on Permutations: 《Journal of Applied Mathematics and Physics》2024年第12期4104-4111,共8页Yishuo Yang Huilan Li; In combinatorics, permutations are important objects with many operations. In this paper, we define a coupling product on permutations and prove that the space spanned by permutations is a graded algebra.; 关键词：PERMUTATION Coupling Product GRADED ALGEBRA

Enumerating Pattern-avoiding Fishburn Permutations Subject to Seven Statistics: 《Journal of Mathematical Research with Applications》2024年第4期427-436,共10页Yujie DU Philip B.ZHANG; National Natural Science Foundation of China(Grant No.12171362)。; Fishburn permutations are in bijection with several important combinatorial structures including interval orders.In this paper,we use the method of generating trees to enumerate two classes of pattern-avoiding Fishbur...; 关键词：Fishburn permutation Fishburn number pattern avoidance generating tree

New Permutation Reversed Dickson Polynomials over Finite Fields: 《Algebra Colloquium》2023年第1期111-120,共10页Kaimin Cheng; supported by National Natural Science Foundation of China(No.12226335);by China's Central Government Funds for Guiding Local Scientific and Technological Development(No.2021ZYD0013).; Let p be an odd prime,and n,k be nonnegative integers.Let Dn,k(1,x)be the reversed Dickson polynomial of the(k+1)-th kind.In this paper,by using Hermite's criterion,we study the permutational properties of the reverse...; 关键词：permutation polynomial reversed Dickson polynomial Hermite's criterion

On the Differential Uniformity and Nonlinearity of a Class of Permutation Quadrinomials Over F_(2 2 m): 《Communications in Mathematical Research》2022年第2期223-245,共23页Mengyu Hu Nian Li Xiangyong Zeng; This work was supported by the Application Foundation Frontier Project of Wuhan Science and Technology Bureau(No.2020010601012189);the National Natural Science Foundation of China(Nos.61761166010,62072162).; Permutation polynomials with low differential uniformity and high nonlinearity are preferred in cryptographic systems. In 2018, Tu, Zeng and Helleseth constructed a new class of permutation quadrinomials over the fini...; 关键词：Differential uniformity finite field NONLINEARITY permutation polynomial

Permutation orbifolds and associative algebras: 《Science China Mathematics》2022年第2期259-268,共10页Chongying Dong Feng Xu Nina Yu; supported by National Natural Science Foundation of China(Grant Nos.11871351,11871150 and 11971396)。; Let V be a vertex operator algebra and g =(1 2 ··· k) be a k-cycle which is viewed as an automorphism of the vertex operator algebra V?k. It is proved that Dong-Li-Mason’s associated associative algebra Ag(V?k) is...; 关键词：vertex operator algebra permutation orbifold Zhu algebra

The decomposition of permutation module for infinite Chevalley groups被引量：1: 《Science China Mathematics》2021年第5期921-930,共10页Xiaoyu Chen Junbin Dong; supported by National Natural Science Foundation of China (Grant Nos.11501546 and 11671297)。; Let G be a connected reductive group defined over F_q, the finite field with q elements. Let B be a Borel subgroup defined over F_q. In this paper, we completely determine the composition factors of the induced module...; 关键词：reductive group abstract representation permutation module flag variety

Permutation polynomials x^2^k+1+3+ax^2^k+2+bx over F2^2k and their differential uniformity: 《Science China(Information Sciences)》2020年第10期251-253,共3页Jie PENG Lijing ZHENG Chunsheng WU Haibin KAN; supported by National Natural Science Foundation of China(Grant Nos.61672166,11701488);Shanghai Excellent Academic Leader(Grant No.16XD1400200);Shanghai Innovation Plan of Science&Technology(Grant No.16JC1402700);Scientific Research Fund of Hunan Provincial Education Department(Grant No.17B040)。; Dear editor,A polynomial f(x)∈Fq[x]is called a permutation polynomial(PP)over the finite field Fq if the associated mapping f:c→f(c)from Fq to itself is bijective.A PP f is called a complete permutation polynomial i...; 关键词：theory. polynomial PERMUTATION

Constructing Permutation Binomials from Permutations of Subfields: 《Wuhan University Journal of Natural Sciences》2020年第4期330-336,共7页QIN Xiaoer YAN Li; Supported Partially by the National Natural Science Foundation of China(11926344);Science and Technology Research Projects of Chongqing Municipal Education Commission(KJQN201901402,KJQN201900506);Fund Project of Chongqing Normal University(17XWB021)。; Permutation polynomials is a hot topic in finite fields,they have many applications in different areas.Permutation binomials and trinomials over finite fields were studied recently.In thispaper,by using a powerful lem...; 关键词：finite field permutation binomials normalized permutation polynomials

Frame-indifference of cross products,rotations,and the permutation tensor被引量：1: 《Theoretical & Applied Mechanics Letters》2020年第2期116-119,共4页Maolin Du; National Natural Science Foundation of China(No.51978166);the Research Fund of Sanjiang University(No.2018SJKY005)。; Under improper transformations,the traditional transformation laws for cross products,the permutation tensor,and rotations are incorrect.For a cross product,using a counter-example the left-hand rule is proved wrong.T...; 关键词：Pseudovector Cross product IMPROPER transformation Handed coefficient PERMUTATION TENSOR

PERMUTATION