云南高校图书馆联盟文献共享服务平台- COHOMOLOGY

COHOMOLOGY: 作品数：125被引量：100H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关作者：王圣祥周建华杨森更多>>; 相关机构：东南大学滁州学院浙江大学更多>>; 相关期刊：《Journal of Mathematical Research with Applications》《Science China Mathematics》《Chinese Physics Letters》《Peking Mathematical Journal》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中国博士后科学基金国家教育部博士点基金更多>>

On Modified Rota-Baxter Hom-Lie Algebras: 《Journal of Mathematical Research with Applications》2025年第2期163-178,共16页Wen TENG; Supported by the Universities Key Laboratory of System Modeling and Data Mining in Guizhou Province(Grant No.2023013);the National Natural Science Foundation of China(Grant No.12161013);the Science and Technology Program of Guizhou Province(Grant No.ZK[2023]025)。; Semenov-Tian-Shansky has given the solution of the modified classical Yang-Baxter equation, which was called the modified r-matrix. Relevant studies have been extensive in recent times. In this paper, we introduce the...; 关键词：Hom-Lie algebra modified Rota-Baxter operator COHOMOLOGY deformation abelian extension

Extensions and Deformations of 3-Lie Algebras with Higher Derivations: 《Journal of Mathematical Research with Applications》2025年第1期20-32,共13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 call a tuple consisting of 3-Lie algebra and a higher derivation on it a 3-LieHDer pair.We introduce a cohomology theory of 3-LieHDer pairs.Next,we interpret the second cohomology group as the space o...; 关键词：higher derivations 3-LieHDer pairs COHOMOLOGY EXTENSIONS formal deformations

Dynamical complexity of Anosov systems driven by a quasi-periodic force: 《Science China Mathematics》2025年第1期89-136,共48页Wen Huang Zeng Lian Kening Lu; supported by National Natural Science Foundation of China(Grant Nos.12090010,12090013,11971330,12090012,12031019,11725105,and 12226102).; Consider C^(2)Anosov systems on a compact manifold driven by a quasi-periodic force.We study their dynamical complexity on various levels from the perspectives of both path-wise dynamics and stochastic processes.Assum...; 关键词：random Anosov systems Anosov system on bers entropy random periodic orbit random horseshoe cohomological equation random Livsic theorem random Bousch-Mañécohomology lemma

Cohomology of Reynolds Leibniz Algebras of Nonzero Weight: 《Journal of Mathematical Research with Applications》2024年第6期741-753,共13页Yizheng LI Dingguo WANG; Supported by the National Natural Science Foundation of China(Grant No.12271292)。; In this paper,we define the cohomology of a Reynolds Leibniz algebra with coefficients in a suitable representation.We also introduce the notion of Reynolds Leibniz 2-algebras,and prove that strict Reynolds Leibniz 2-...; 关键词：Reynolds Leibniz algebra COHOMOLOGY Reynolds Leibniz 2-algebras crossed module

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

Pseudoeffective thresholds and cohomology of twisted symmetric tensor fields on irreducible Hermitian symmetric spaces: 《Science China Mathematics》2024年第11期2433-2452,共20页Feng Shao; Let X be an irreducible Hermitian symmetric space of compact type(IHSS for short).In this paper,we give the irreducible decomposition of SymrTX.As a by-product,we give a cohomological characterization of the rank of X...; 关键词：tangent bundle pseudoeffective threshold irreducible Hermitian symmetric space of compact type(IHSS) multiplicity free action

Derivations of the Schrodinger Algebra on Restricted Simple Modules: 《数学进展》2024年第5期1012-1018,共7页HOU Ruiying WANG Shujuan; Supported by NSFC(Nos.12271345,12061029)。; Over an algebraically closed field of characteristic p>2,based on the results on the representation theory of special linear Lie algebra sl(2),restricted simple modules L(λ) of the Schrodinger algebra S(1)are determi...; 关键词：Schrodinger algebra restricted simple module DERIVATION COHOMOLOGY

On Compatible Hom-Lie Triple Systems: 《Journal of Mathematical Research with Applications》2024年第5期633-647,共15页Wen TENG Fengshan LONG Hui ZHANG Jiulin JIN; Supported by the Scientifc Research Foundation for Advanced Talents of GUFE(Grant No.2022YJ007);the Innovation Exploration and Academic Talent Project of GUFE(Grant No.2022XSXMB11);the Science and Technology Program of Guizhou Province(Grant Nos.QKHZC[2023]372;QKHJC-[2024]QN081);the Research Foundation for Science&Technology Innovation Team of Guizhou Province(Grant Nos.QJJ[2023]063;QJJ[2024]190);the Doctoral Research Start-Up Fundation of Guiyang University(Grant No.GYU-KY-2024)。; In this paper,we consider compatible Hom-Lie triple systems.More precisely,compatible Hom-Lie triple systems are characterized as Maurer-Cartan elements in a suitable bidifferential graded Lie algebra.We also define a...; 关键词：compatible Hom-Lie triple system COHOMOLOGY linear deformations abelian exten-sions

Discussion on the Homology Theory of Lie Algebras: 《Journal of Applied Mathematics and Physics》2024年第7期2367-2376,共10页Lilong Kang Yu Wang Caiyu Du; Because homology on compact homogeneous nilpotent manifolds is closely related to homology on Lie algebras, studying homology on Lie algebras is helpful for further studying homology on compact homogeneous nilpotent m...; 关键词：Lie Algebra Differential Sequence Differential Fractional Algebra COHOMOLOGY

A Local Analogue of the Ghost Conjecture of Bergdall-Pollack: 《Peking Mathematical Journal》2024年第1期247-344,共98页Ruochuan Liu Nha Xuan Truong Liang Xiao Bin Zhao; R.Liu is partially supported by the National Natural Science Foundation of China under Agreement No.NSFC-11725101 and the Tencent Foundation;N.Truong is partially supported by L.Xiao’s NSF under Grant DMS-1752703;L.Xiao is partially supported by Simons Collaboration under Grant#278433;NSF under Grant DMS-1502147 and DMS-1752703;the Chinese NSF grant NSFC-12071004,Recruitment Program of Global Experts of China,and a grant from the Chinese Ministry of Education;B.Zhao is partially supported by AMS-Simons Travel Grant.; We formulate a local analogue of the ghost conjecture of Bergdall and Pollack,which essentially relies purely on the representation theory of GL_(2)(Q_(p)).We further study the combinatorial properties of the ghost se...; 关键词：Eigencurves Slope of U_(p)operators Overconvergent modular forms Completed cohomology Weight space Gouvêa’s conjecture Gouvêa-Mazur conjecture

COHOMOLOGY