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LIE: 作品数：646被引量：839H指数：14; 导出分析报告; 相关领域：理学更多>>; 相关作者：张毅梅凤翔梁景辉张建华李元成更多>>; 相关机构：陕西师范大学中国石油大学（华东）北京理工大学山西师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金陕西省自然科学基金河南省自然科学基金更多>>

On Quadratic Left Leibniz Algebras and Related Lie-Yamaguti Structures: 《Journal of Mathematical Research with Applications》2025年第2期152-162,共11页A.Nourou ISSA; A left Leibniz algebra equipped with an invariant nondegenerate skew-symmetric bilinear form(i.e.,a skew-symmetric quadratic Leibniz algebra)is constructed.The notion of T^(*)-extension of Lie-Yamaguti algebras is int...; 关键词：Leibniz algebra T^(*)-extension Lie-Yamaguti algebra

Cohomology of Lie-Conformal Algebras with Derivations: 《Journal of Mathematical Research with Applications》2024年第6期754-768,共15页Shuangjian GUO; Supported by the National Natural Science Foundation of China(Grant No.12161013);the Basic Research Program(Natural Science)of Guizhou Province(Grant No.ZK[2023]025)。; In this paper,we consider Lie conformal algebras with derivations.A pair consisting of a Lie conformal algebra and a distinguished derivation is called a LieCDer pair.We introduce a cohomology theory for LieCDer pair ...; 关键词：Lie conformal algebras COHOMOLOGY abelian extension conformal Lie 2-algebras homotopy derivation

Characterizations of Lie Triple Derivations on the Algebra of Operators in Hilbert C^(*)-Modules: 《Journal of Mathematical Research with Applications》2024年第3期387-396,共10页Guangyu AN Jun SHENG Jun HE; Supported by the Shaanxi College Students Innovation and Entrepreneurship Training Program(Grant No.S202110708069)。; Let A be a commutative unital C^(*)-algebra with the unit element e and M be a full Hilbert A-module.Denote by End_(A)(M)the algebra of all bounded A-linear mappings on M and by M′the set of all bounded A-linear mapp...; 关键词：Lie triple derivation standard DERIVATION Hilbert C^(*)-module

Relative Rota-Baxter Operators on Hom-Lie-Yamaguti Algebras被引量：1: 《Journal of Mathematical Research with Applications》2023年第6期648-664,共17页Wen TENG Jiulin JIN Fengshan LONG; Supported by the Foundation of Science and Technology of Guizhou Province(Grant No.[2018]1020);the Guizhou University of Finance and Economics introduced talent research projects(2016);the National Natural Science Foundation of China(Grant No.12161013)。; In this paper,we first introduce the notion of relative Rota-Baxter operators on Hom-Lie-Yamaguti algebras and give some characteristics of relative Rota-Baxter operators in terms of Nijenhuis operators and graphs.The...; 关键词：Hom-Lie-Yamaguti algebra relative Rota-Baxter operator cohomology deformation

Local Lie n-Derivations of Reflexive Algebras: 《Journal of Mathematical Research with Applications》2023年第5期597-606,共10页Jiankui LI Bo YU; Supported by the National Natural Science Foundation of China (Grant No. 11871021)。; Let L be a subspace lattice on a Banach space X such that X-≠ X and(0)+≠(0).We prove that every local Lie n-derivation from Alg L into B(X) is a Lie n-derivation.; 关键词：derivation local Lie derivation reflexive algebra subspace lattice

Derivations and Deformations of Lie-Yamaguti Color Algebras被引量：2: 《Journal of Mathematical Research with Applications》2022年第1期15-30,共16页Wen TENG Taijie YOU; Supported by the National Natural Science of China(Grant No.11761017);the Science and Technology Foundation of Guizhou Province(Grant No.[2020]1Y005)。; In this paper,we introduce the representation and cohomology theory of Lie-Yamaguti color algebras.Furthermore,we introduce the notions of generalized derivations of Lie-Yamaguti color algebras and present some proper...; 关键词：Lie-Yamaguti color algebra representation COHOMOLOGY DERIVATIONS deformations

On Split δ-Jordan Lie Triple Systems被引量：1: 《Journal of Mathematical Research with Applications》2020年第2期127-139,共13页Yan CAO Liangyun CHEN; Supported by the National Natural Science Foundation of China(Grant No.11801121);the Natural Science Foundation of Heilongjiang Province(Grant No.QC2018006);the Fundamental Research Fundation for Universities of Heilongjiang Province(Grant No.LGYC2018JC002).; The aim of this article is to study the structures of arbitrary split δ-Jordan Lie triple systems, which are a generalization of split Lie triple systems. By developing techniques of connections of roots for this kin...; 关键词：splitδ-Jordan LIE TRIPLE SYSTEM LIE TRIPLE SYSTEM ROOT SYSTEM

The Structure of a Lie Algebra Attached to a Unit Form: 《Journal of Mathematical Research with Applications》2019年第5期469-488,共20页Yalong YU Zhengxin CHEN; Supported by the National Natural Science Foundation of China(Grant No.11571360);the Natural Science Foundation of Fujian Province(Grant Nos.2016J01006; JZ160427); Let n≥4. The complex Lie algebra, which is attached to the unit form q(x1,x2,…xn)=Σ^n i=1 x2i -(Σn-1 i=1 xixi+1)+x1xn and defned by generators and generalized Serre relations, is proved to be a finite-dimensional ...; 关键词：Nakayama ALGEBRAS finite DIMENSIONAL simple LIE ALGEBRAS Ringel-Hall LIE ALGEBRAS

On Split Regular Hom-Poisson Color Algebras: 《Journal of Mathematical Research with Applications》2019年第5期495-505,共11页Shuangjian GUO; Supported by the National Natural Science Foundation of China(Grant No.11761017);the Youth Project for Natural Science Foundation of Guizhou Provincial Department of Education(Grant No.KY[2018]155); We introduce the class of split regular Hom-Poisson color algebras as the natural generalization of split regular Hom-Poisson algebras and the one of split regular Hom-Lie color algebras. By developing techniques of c...; 关键词：Hom-Lie COLOR ALGEBRA Hom-Poisson COLOR ALGEBRA root structure theory

On Generating New (2+1)-Dimensional Super Integrable Systems: 《Journal of Mathematical Research with Applications》2019年第3期277-288,共12页Hanyu WEI Tiecheng XIA; Supported by the National Natural Science Foundation of China(Grant No.11547175);the Aid Project for the Mainstay Young Teachers in Henan Provincial Institutions of Higher Education of China(Grant No.2017GGJS145); In this paper, we make use of the binormial-residue-representation(BRR) to generate (2 + 1)-dimensional super integrable systems. By using these systems, a new (2 + 1)-dimensional super soliton hierarchy is deduced, w...; 关键词：LIE super ALGEBRA (2+1)-dimensional super EQUATION HAMILTONIAN structure

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