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CARTAN: 作品数：139被引量：185H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关作者：殷慰萍李子平唐荣李爱民曾吉文更多>>; 相关机构：吉林大学东北师范大学首都师范大学北京工业大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金北京市自然科学基金教育部留学回国人员科研启动基金福建省自然科学基金更多>>

On non-abelian extensions of 3-Leibniz algebras: 《Frontiers of Mathematics in China》2024年第2期57-74,共18页Nanyan XU Yunhe SHENG; In this paper,we study non-abelian extensions of 3-Leibniz algebras through Maurer-Cartan elements.We construct a differential graded Lie algebra and prove that there is a one-to-one correspondence between the isomorp...; 关键词：3-Leibniz algebras Leibniz algebra non-abelian extension Maurer-Cartan element

3-莱布尼茨代数的非交换扩张: 《数学进展》2023年第6期1048-1062,共15页徐楠燕生云鹤; 国家自然科学基金(No.11922110); 本文主要利用Maurer-Cartan元研究3-莱布尼茨代数的非交换扩张.我们构造了一个微分分次李代数,并且证明了这个微分分次李代数上的Maurer-Cartan元等价类与3-莱布尼茨代数的非交换扩张同构类是一一对应的.同时分析了由3-莱布尼茨代数基...; 关键词：3-莱布尼茨代数莱布尼茨代数非交换扩张 Maurer-Cartan元

RIGHT MEAN FOR THEα-z BURES-WASSERSTEIN QUANTUM DIVERGENCE: 《Acta Mathematica Scientia》2023年第5期2320-2332,共13页Miran JEONG Jinmi HWANG Sejong KIM; supported by the National Re-search Foundation of Korea(NRF)grant funded by the Korea government(MSIT)(NRF-2022R1A2C4001306);supported by Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education(NRF-2022R1I1A1A01068411)。; The optimization problem to minimize the weighted sum ofα-z Bures-Wasserstein quantum divergences to given positive definite Hermitian matrices has been solved.We call the unique minimizer theα-z weighted right mean...; 关键词：Rényi relative entropy Bures-Wasserstein quantum divergence right mean power mean Cartan mean Wasserstein mean

Maurer-Cartan characterizations and cohomologies of compatible Lie algebras被引量：1: 《Science China Mathematics》2023年第6期1177-1198,共22页Jiefeng Liu Yunhe Sheng Chengming Bai; supported by National Natural Science Foundation of China (Grant Nos.11901501,11922110 and 11931009);supported by the Fundamental Research Funds for the Central Universities;Nankai Zhide Foundation;supported by the National Key Research and Development Program of China (Grant No.2021YFA1002000);the Fundamental Research Funds for the Central Universities (Grant No.2412022QD033)。; In this paper,we give Maurer-Cartan characterizations as well as a cohomology theory for compatible Lie algebras.Explicitly,we first introduce the notion of a bidifferential graded Lie algebra and thus give Maurer-Car...; 关键词：compatible Lie algebra Maurer-Cartan element COHOMOLOGY deformation EXTENSION

Cartan's Second Main Theorem and Mason's Theorem for Jackson Difference Operator: 《Chinese Annals of Mathematics,Series B》2022年第3期383-400,共18页Huixin DAI Tingbin CAO Yezhou LI; supported by the National Natural Science Foundation of China(Nos.12071047,11871260);the Fundamental Research Funds for the Central Universities(No.500421126); Let f:C→P^(n)be a holomorphic curve of order zero.The authors establish a Jackson difference analogue of Cartan’s second main theorem for the Jackson q-Casorati determinant and introduce a truncated second main theo...; 关键词：Jackson difference operator Nevanlinna theory Holomorphic curve Cartan’s second main theorem Mason’s theorem POLYNOMIAL

An equivalence theorem of a class of Minkowski norms and its applications被引量：1: 《Science China Mathematics》2021年第7期1429-1446,共18页Huitao Feng Yuhua Han Ming Li; supported by National Natural Science Foundation of China (Grant Nos. 11221091, 11271062, 11501067, 11571184, 11871126 and 11931007);China Scholarship Council Visiting Scholar Program;the Fundamental Research Funds for the General Universities;Nankai Zhide Foundation。; In this paper, the Cartan tensors of the(α, β)-norms are investigated in detail. Then an equivalence theorem of(α, β)-norms is proved. As a consequence in Finsler geometry, general(α, β)-metrics on smooth manifo...; 关键词：Landsberg manifold Berwald manifold general(α β)-metric equivalence theorem Cartan tensor parallel transport

On Blocks in Restricted Representations of Lie Superalgebras of Cartan Type: 《Acta Mathematica Sinica,English Series》2020年第9期1061-1075,共15页Fei Fei DUAN Bin SHU Yu Feng YAO; supported by the National Natural Science Foundation of China(Grant Nos.11601116;11671138 and 11771279);Shanghai Key Laboratory of PMMP(Grant No.13dz2260400);the Scientific Research Foundation of Hebei Education Department(Grant No.QN2017090);the Doctoral Foundation of Hebei Normal University(Grant No.L2016B02);We thank the referees for their helpful comments.; Let g be a restricted Lie superalgebra of Cartan type W(n),S(n)or H(n)over an alge-braically closed field k of prime characteristic p>3,in the sense of modular version of Kac's definition in 1977.In this note,we show ...; 关键词：LIE SUPERALGEBRA of CARTAN TYPE RESTRICTED representation block

形变理论综述(一):代数结构形变的具体公式被引量：3: 《数学进展》2020年第3期257-277,共21页管艾 Andrey Lazarev 生云鹤唐荣; The research is partially supported by NSFC(No.11922110).; 在这篇综述中,我们首先给出结合代数、李代数、预李代数、Leibniz代数以及3-李代数的表示和上同调的具体公式以及它们的强同伦版本.然后我们回顾可以刻画这些代数结构为Maurer-Cartan元的分次李代数和分次结合代数.相应的Maurer-Cartan...; 关键词：上同调形变 Maurer-Cartan元交换代数李代数预李代数 LEIBNIZ代数 3-李代数

形变理论综述(二):同伦方法: 《数学进展》2020年第3期278-298,共21页管艾 Andrey Lazarev 生云鹤唐荣; This research was partially supported by NSFC(No.11922110)。; 本文从Hinich,Manetti和Pridham在同伦代数上的结果出发,给出形变理论的一个通用方法.特别地,我们证明所有特征为0的形变函子被一个同伦意义下特定的分次李代数控制,同时对任意特征的形变函子给出了非交换的类似结果.; 关键词：模型范畴形变 Maurer-Cartan元结合代数李代数

扩张的镜像Courant代数胚: 《南昌航空大学学报（自然科学版）》2020年第1期21-25,42,共6页毕艳会杨一婷; 国家自然科学基金(11961049,11601219); 在向量丛ε~1(M)上引入了扩张的镜像Courant代数胚。利用扩张的镜像Courant括号是通过向量丛自同构将R变换为R的对应于向量丛ε~1(M)上标准扩张的Courant括号的括号这个理论知识,研究了Courant代数胚镜像扩张下的代数几何结构,得出扩张...; 关键词：扩张的镜像Courant代数胚广义Cartan公式 Dirac-Jacobi结构

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