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IRREDUCIBLE: 作品数：157被引量：109H指数：5; 导出分析报告; 相关领域：理学更多>>; 相关作者：李倩李尚志李立斌赵娜初学导更多>>; 相关机构：华南师范大学中国科学技术大学扬州大学曲阜师范大学更多>>; 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天津市自然科学基金国家重点基础研究发展计划更多>>

Nonsolvable groups whose irreducible character degrees have special 2-parts: 《Frontiers of Mathematics in China》2022年第6期1083-1088,共6页Yang LIU; supported by the National Natural Science Foundation of China(Grant Nos.11871011,11701421);the Science&Technology Development Fund of Tianjin Education Commission for Higher Education(2020KJ010).; Let G be a nonsolvable group and Irr(G)the set of irreducible complex characters of G.We consider the nonsolvable groups whose character degrees have special 2-parts and prove that ifχ(1)_(2)=1 or∣G∣_(2)for everyχ...; 关键词：Character degree nonsolvable group

Classification on irreducible Whittaker modules over quantum group Uq(sl3,∧): 《Frontiers of Mathematics in China》2021年第4期1089-1097,共9页Limeng XIA Xiangqian GUO Jiao ZHANG; the National Natural Science Foundation of China(Grant Nos.11971440,11871249,11771142,11931009);the Jiangsu Natural Science Foundation(No.BK20171294).; We define the Whittaker modules over the simply-connected quantum group U_(q)(sl3,∧),where A is the weight lattice of Lie algebra sl3.Then we completely classify all those simple ones.Explicitly,a simple Whittaker mo...; 关键词：Quantum group SIMPLE Whittaker module Whittaker vector

Sharp bounds for spectral radius of nonnegative weakly irreducible tensors被引量：1: 《Frontiers of Mathematics in China》2019年第5期989-1015,共27页Lihua YOU Xiaohua HUANG Xiying YUAN; This work was supported by the National Natural Science Foundation of China(Grant Nos.11571123,11871040,11971180);the Guangdong Provincial Natural Science Foundation(No.2015A030313377);Guangdong Engineering Research Center for Data Science.; We obtain the sharp upper and lower bounds for the spectral radius of a nonnegative weakly irreducible tensor.By using the technique of the representation associate matrix of a tensor and the associate directed graph ...; 关键词：NONNEGATIVE WEAKLY IRREDUCIBLE TENSORS uniform(directed)hypergraph spectral radius BOUND

Irreducible function bases of isotropic invariants of a third order three-dimensional symmetric and traceless tensor: 《Frontiers of Mathematics in China》2019年第1期1-16,共16页Yannan CHEN Shenglong HU Liqun QI Wennan ZOU; National Natural Science Foundation of China (Grant Nos. 1177132& 11771405, 1157117& 11372124);Hong Kong Research Grant Council (Grant Nos. PolyU 15302114, 15300715, 15301716, 15300717).; Third order three-dimensional symmetric and traceless tensors play an important role in physics and tensor representation theory. A minimal integrity basis of a third order three-dimensional symmetric and traceless te...; 关键词：Minimal integrity BASIS IRREDUCIBLE FUNCTION BASIS SYMMETRIC and TRACELESS TENSOR syzygy

Irreducible Z＋-modules of near-group fusion ring K（Z3, 3）被引量：3: 《Frontiers of Mathematics in China》2018年第4期947-966,共20页Chengtao YUAN Ruju ZHAO Libin LI; This work was supported in part by the National Natural Science Foundation of China （Grant No. 11471282）.; The near-group rings are an important class of fusion rings in the theory of tensor categories. In this paper, the irreducible Z＋-modules over the near-group fusion ring K（Z3, 3） are explicitly classified. It turns...; 关键词：irreducible Z＋-module near group ring fusion ring

H-tensors and nonsingular H-tensors被引量：6: 《Frontiers of Mathematics in China》2016年第3期557-575,共19页Xuezhong WANG Yimin WEI; Acknowledgements The authors would like to thank Professors Liqun Qi and Yiju Wang for their comments and the preprint [14]. They would like to thank two referees for their detailed suggestions which greatly improve the presentation. They also thank Prof. Liqun Qi for kindly reminding them of the very recent paper [12] after their first revision in February, 2015. This work was supported by the National Natural Science Foundation of China （Grant Nos. 11171371, 11271084.）; The H-matrices are an important class in the matrix theory, and have many applications. Recently, this concept has been extended to higher order H-tensors. In this paper, we establish important properties of diagonall...; 关键词：Diagonally dominant irreducible diagonally dominant H-tensor nonsingular

lk,s-Singular values and spectral radius of partially symmetric rectangular tensors被引量：1: 《Frontiers of Mathematics in China》2016年第3期605-622,共18页Hongmei YAO Bingsong LONG Changjiang BU Jiang ZHOU; Acknowledgements This work was supported by the National Natural Science Foundation of China （Grant Nos. 11371109, 11426075）, the Natural Science Foundation of Heilongjiang Province （No. QC2014C001）, and the Fundamental Research Funds for the Central Universities.; The real rectangular tensors arise from the strong ellipticity condition problem in solid mechanics and the entanglement problem in quantum physics. In this paper, we first study properties oflk,singular values of rea...; 关键词：lk s-Singular values spectral radius positive definiteness partiallysymmetric rectangular tensor weakly irreducible

Classification of irreducible non-zero level quasifinite modules over twisted affine Nappi-Witten algebra: 《Frontiers of Mathematics in China》2016年第2期269-277,共9页Xue CHEN; This work was supported in part by the National Natural Science Foundation of China （Grant No. 11426191）.; level over module or We obtain that every irreducible quasifinite module with non-zero the twisted affine Nappi-Witten algebra is either a highest weight a lowest one; 关键词：Twisted affine Nappi-Witten algebra quasifinite module weight module

Irreducible A1（1）-modules from modules over two-dimensional non-abelian Lie algebra被引量：1: 《Frontiers of Mathematics in China》2016年第2期353-363,共11页Genqiang LIU Yueqiang ZHAO; The authors would like to thank the referees for nice suggestions. This work was supported in part by the National Natural Science Foundation of China （Grant No. 11301143） and the school fund of Henan University （yqpy20140044）.; For any module V over the two-dimensional non-abelian Lie algebra b and scalar a ∈C, we define a class of weight modules Fα（V） with zero central charge over the affine Lie algebra A（1）. These weight modules have...; 关键词：Atone Lie algebras irreducible modules weight modules

Erdoes-Ko-Rado theorem for irreducible imprimitive reflection groups: 《Frontiers of Mathematics in China》2012年第1期125-144,共20页Li WANG; Acknowledgements The author would like to express her deep gratitude to Professor Jun Wang for guiding her into this area and thank the referees for their invaluable suggestions. This work was supported in part by the National Natural Science Foundation of China （Grant Nos. 11001176, 10971138）.; Let Ω be a finite set, and let G be a permutation group on Ω. A subset H of G is called intersecting if for any a, 7r H, they agree on at least one point. We show that a maximal intersecting subset of an irreducible...; 关键词：Erdoes-Ko-Rado theorem representation theory imprimitivereflection groups

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