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SUPERALGEBRA: 作品数：61被引量：107H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：张朝凤马丽丽张永正陈永清范桁更多>>; 相关机构：东北师范大学齐齐哈尔大学吉林大学深圳教育学院更多>>; 相关期刊：《东北师大学报（自然科学版）》《Frontiers of Mathematics in China》《Journal of Southeast University(English Edition)》《Communications in Mathematical Research》更多>>; 相关基金：国家自然科学基金中国博士后科学基金国家教育部博士点基金上海市自然科学基金更多>>

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

Biderivations of Hom-Lie Algebras and Superalgebras: 《Acta Mathematica Sinica,English Series》2024年第10期2337-2358,共22页La Mei YUAN Jia Xin LI; Supported by National Natural Science Foundation grants of China(Grant No.11301109)。; On Hom-Lie algebras and superalgebras,we introduce the notions of biderivations and linear commuting maps,and compute them for some typical Hom-Lie algebras and superalgebras,including the q-deformed W(2,2)algebra,the...; 关键词：Hom-Lie algebras biderivations linear commuting maps q-deformed W(2 2)algebra q-deformed Witt algebra q-deformed Witt superalgebra

Finite dimensional irreducible representations of Lie superalgebra D(2,1;α): 《Communications in Theoretical Physics》2024年第2期14-28,共15页陈曦杨文力丁祥茂张耀中; financial support from the National Natural Science Foundation of China(Grant No.11405051);supported by the Australian Research Council Discovery Project DP190101529;supported by NSFC Grant 11775299。; This paper focuses on the finite dimensional irreducible representations of Lie superalgebra D(2,1;α).We explicitly construct the finite dimensional representations of the superalgebra D(2,1;α)by using the shift ope...; 关键词：SUPERALGEBRA REPRESENTATIONS shift operator conformal field theory

On the Structure of Quantum Toroidal Superalgebraε_(m|n): 《Acta Mathematica Sinica,English Series》2023年第11期2117-2138,共22页Xiang Hua WU Hong Da LIN Hong Lian ZHANG; the NSFC(Grant No.11871325,12271332);Shanghai Natural Science Foundation(No.22ZR1424600)。; Recently the quantum toroidal superalgebraε_(m|n)associated with gl_(m|n)was introduced by L.Bezerra and E.Mukhin,which is not a quantum Kac-Moody algebra.The quantum toroidal superalgebraε_(m|n)exploits infinite se...; 关键词：Quantum toroidal superalgebra Drinfeld realization Lie superalgebra

Left-Symmetric Superalgebra Structures on an Infinite-Dimensional Lie Superalgebra: 《Algebra Colloquium》2023年第3期429-438,共10页Hongjia Chen Omer Hassan; In this note, the compatible left-symmetric superalgebra structures on an infinite-dimensional Lie superalgebra with some natural grading conditions are completely determined. The results of earlier work on left-symme...; 关键词：left-symmetric superalgebra Virasoro algebra Lie superalgebra

Tensor modules over Witt superalgebras: 《Science China Mathematics》2023年第7期1429-1448,共20页Yaohui Xue Yan Wang; supported by National Natural Science Foundation of China(Grant Nos.11971440,11801390 and 11871052)。; In this paper,we study the tensor module P■M over the Witt superalgebra W_(m,n)~+(resp.W_(m,n)),where P is a simple module over the Weyl superalgebra K_(m,n)~+(resp.K_(m,n))and M is a simple weight module over the ge...; 关键词：Witt superalgebra simple module tensor module

N=2 Multicomponent Supersymmetric KP Hierarchy and Additional Symmetries: 《Acta Mathematica Sinica,English Series》2023年第1期99-106,共8页Chuan Zhong LI; Supported by the National Natural Science Foundation of China(Grant No.12071237)。; We study additional non-isospectral symmetries of multicomponent constrained N=2 supersymmetric Kadomtsev-Petviashvili(KP)hierarchies.These symmetries are shown to form an infinite-dimensional non-Abelian superloop su...; 关键词：Multicomponent constrained N=2 supersymmetric Kadomtsev-Petviashvili hierarchies additional symmetries superloop superalgebra

Multipliers,covers,and stem extensions for Lie superalgebras: 《Frontiers of Mathematics in China》2021年第4期979-995,共17页Wende LIU Xingxue MIAO; the National Natural Science Foundation of China(Grant No.12061029);the Natural Science Foundation of Hainan Province(No.120RC587);the Natural Science Foundation of Heilongjiang Province(No.YQ2020A005).; Suppose that the underlying field is of characteristic different from 2 and 3.We first prove that the so-called stem deformations of a free presentation of a finite-dimensional Lie superalgebra L exhaust all the maxim...; 关键词：Multiplier cover stem extension Heisenberg superalgebra filiform Lie supleralgebra

Generalized P(N)-graded Lie superalgebras: 《Frontiers of Mathematics in China》2021年第3期647-687,共41页Jin CHENG Yun GAO; This work was supported by the National Natural Science Foundation of China(Grant Nos.11701340,11931009)and the NSERC of Canada.; We generalize the P(N)-graded Lie superalgebras of Martinez-Zelmanov.This generalization is not so restrictive but sufficient enough so that we are able to have a classification for this generalized P(N)-graded Lie su...; 关键词：Root system graded Lie superalgebras associative superalgebra quantum tori REPRESENTATIONS

Left-Symmetric Superalgebra Structures on a Super Virasoro Type Algebra: 《Algebra Colloquium》2020年第4期753-760,共8页Xiansheng Dai Haibo Cher Bin Xin; Supported by the Doctoral Research Start-up Fund of Guizhou Normal University(No.GZNUD[2017]24);the National Natural Science Foundation of China(No.11431010,No.11801369);the Anhui Provincial Natural Science Research Program for Institutions of Higher Learning(No.KJ2018A0976).; In this note we classify the compatible left-symmetric superalgebra structures over a super Virasoro type algebra,whose even part is the centerless twisted Heisenberg–Virasoro algebra,with some natural grading condit...; 关键词：super Virasoro type algebra left-symmetrie superalgebra Virasoro algebra

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