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REPRESENTATION: 作品数：925被引量：1104H指数：13; 导出分析报告; 相关作者：徐亮孙正兴张福炎熊洪允郑运平更多>>; 相关机构：中国科学院大学浙江大学西安外国语大学华中师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金国家高技术研究发展计划更多>>

Representations of Drinfeld doubles of Radford Hopf algebras: 《Science China Mathematics》2025年第4期761-784,共24页Hua Sun Hui-Xiang Chen; supported by National Natural Science Foundation of China(Grant Nos.12201545 and 12071412)。; In this article,we investigate the representations of the Drinfeld doubles D(Rmn(q))of the Radford Hopf algebras Rmn(q)over an algebraically closed field k,where m>1 and n>1 are integers and q∈k is a root of unity of...; 关键词：Drinfeld double Radford algebra REPRESENTATION indecomposable module Auslander-Reiten sequence

Representation of measures of noncompactness and its applications related to an initial value problem in Banach spaces被引量：1: 《Science China Mathematics》2023年第4期745-776,共32页Xiaoling Chen Lixin Cheng; supported by National Natural Science Foundation of China(Grant No.11731010)。; This paper is devoted to studying the representation of measures of non-generalized compactness,in particular,measures of noncompactness,of non-weak compactness and of non-super weak compactness,defined on Banach spac...; 关键词：representation of measures of noncompactness convex analysis Lebesgue-Bochner measurability integral inequality initial value problem in Banach spaces

Isolation of the cuspidal spectrum:The function field case: 《Science China Mathematics》2022年第7期1331-1342,共12页Li Cai Bin Xu; supported by National Natural Science Foundation of China(Grant No.11971254);supported by National Natural Science Foundation of China(Grant No.11501382)。; Isolating cuspidal automorphic representations from the whole automorphic spectrum is a basic problem in the trace formula approach.For example,matrix coefficients of supercuspidal representations can be used as test ...; 关键词：cuspidal spectrum Hecke algebra trace formula automorphic representation

On the first negative Hecke eigenvalue of an automorphic representation of GL_(2)(A_(Q)): 《Science China Mathematics》2021年第11期2381-2394,共14页Yuk-Kam Lau Ming Ho Ng Hengcai Tang Yingnan Wang; supported by General Research Fund of the Research Grants Council of Hong Kong(Grant Nos.17313616 and 17305617);supported by National Natural Science Foundation of China(Grant No.11871193);the Program for Young Scholar of Henan Province(Grant No.2019GGJS026);supported by National Natural Science Foundation of China(Grant No.11871344)。; Letπbe a self-dual irreducible cuspidal automorphic representation of GL_(2)(A_(Q))with trivial central character.Its Hecke eigenvalue λπ(n)is a real multiplicative function in n.We show that λπ(n)<0 for some n<<...; 关键词：automorphic representation Hecke eigenvalue Maass cusp form sign change

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

Krein space representation and Lorentz groups of analytic Hilbert modules: 《Science China Mathematics》2018年第4期745-768,共24页Yue Wu Michio Seto Rongwei Yang; supported by Grant-in-Aid for Young Scientists(B)(Grant No.23740106); This paper aims to introduce some new ideas into the study of submodules in Hilbert spaces of analytic functions. The effort is laid out in the Hardy space over the bidisk H^2(D^2). A closed subspace M in H^2(D^2) is ...; 关键词：submodules Krein spaces reproducing kernels defect operators Lorentz group little Lorentz group

Some conjectures on modular representations of affine sl_2 and Virasoro algebra被引量：1: 《Science China Mathematics》2018年第2期385-390,共6页Weiqiang Wang; supported by the National Science Foundation of USA(Grant No. DMS1405131); We conjecture an explicit bound on the prime characteristic of a field, under which the Weyl modules of affine sl_2 and the minimal series modules of Virasoro algebra remain irreducible, and Goddard-Kent-Olive coset c...; 关键词：Virasoro algebra affine algebras module representation

Dynamic background modeling using tensor representation and ant colony optimization被引量：1: 《Science China Mathematics》2017年第11期2287-2302,共16页PENG LiZhong ZHANG Fan ZHOU BingYin; supported by National Natural Science Foundation of China (Grant Nos. 11301137 and 11371036);the National Science Foundation of Hebei Province of China (Grant No. A2014205100; Background modeling and subtraction is a fundamental problem in video analysis. Many algorithms have been developed to date, but there are still some challenges in complex environments, especially dynamic scenes in wh...; 关键词：background modeling dynamic scenes tensor representation ant colony optimization

Bimodule and twisted representation of vertex operator algebras: 《Science China Mathematics》2016年第2期397-410,共14页JIANG QiFen JIAO XiangYu; supported by National Natural Science Foundation of China(Grant Nos.11101269 and 11431010); In this paper, for a vertex operator algebra V with an automorphism g of order T, an admissible V-module M and a fixed nonnegative rational number n ∈1/T Z_+, we construct an A_(g,n)(V)-bimodule Ag,n(M) and study its...; 关键词：BIMODULE g-twisted module vertex operator algebra intertwining operator fusion rules

Strong representation of weak convergence: 《Science China Mathematics》2014年第11期2399-2406,共8页HU Jiang BAI ZhiDong; supported by the Fundamental Research Funds for the Central Universities;Program for Changjiang Scholars and Innovative Research Team in University;National Natural Science Foundation of China(Grant Nos.11301063 and 11171057); Skorokhod's representation theorem states that if on a Polish space,there is a weakly convergent sequence of probability measures μnw→μ0,as n →∞,then there exist a probability space(Ω,F,P) and a sequence of rand...; 关键词：Skorohod＇s representation theorem strong representation of weak convergence random matrices

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