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SCHUR: 作品数：192被引量：140H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关作者：石焕南孙明保褚玉明夏卫锋肖扬更多>>; 相关机构：北京联合大学湖州师范学院华东师范大学北京师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金浙江省自然科学基金福建省自然科学基金湖南省教育厅科研基金更多>>

Schur Q-Polynomials and Kontsevich-Witten Tau Function: 《Peking Mathematical Journal》2024年第2期713-758,共46页Xiaobo Liu Chenglang Yang; partially supported by NSFC grants 11890662 and 11890660.; Using matrix model,Mironov and Morozov recently gave a formula which represents Kontsevich-Witten tau function as a linear expansion of Schur Q-polynomials.In this paper,we will show directly that the Q-polynomial exp...; 关键词：Kontsevich-Wittentaufunction Schur Q-polynomials BKP hierarchy

Higher Frobenius-Schur Indicators for Semisimple Hopf Algebras in Positive Characteristic: 《Algebra Colloquium》2024年第4期675-688,共14页Zhihua Wang Gongxiang Liu Libin Li; National Natural Science Foundation of China(Grant No.12271243);National Natural Science Foundation of China(Grant No.12371041).; Let H be a semisimple Hopf algebra over an algebraically closed field Ik of characteristic p>dimk(H)^(1/2).We show that the antipode S of H satisfies the equality S^(2)(h)=uhu^(-1),where h e H,u=S(A_((2))A_((1))and A ...; 关键词：s2-formula Frobenius-Schur indicator gauge invariant

SOS-Schur方法及其应用: 《中学数学研究（华南师范大学）（上半月）》2024年第11期30-32,共3页周维李鸿昌廖明芳; 介绍SOS-Schur方法以及举例说明如何把对称多项式改写成SOS-Schur形式,最后给出SOS-Schur方法在对称不等式中的应用.; 关键词：SOS-Schur 数学竞赛不等式证明应用

矩阵迹的Cauchy-Schwarz公式和Schur公式: 《理论数学》2024年第11期50-56,共7页葛岩岩王亚茹; 本文介绍了相似矩阵、正交矩阵、正定矩阵、幂等矩阵、幂零矩阵、Hermite矩阵的迹的性质及定理,并证明了矩阵的迹的Cauchy-Schwarz公式和Schur公式。并举例说明这些引理和定理在具体解题过程中的应用,充分体现了用矩阵的迹在解决实际问...; 关键词：矩阵的迹方阵 Cauchy-Schwarz公式 Schur公式

THE SCHUR TEST OF COMPACT OPERATORS: 《Acta Mathematica Scientia》2024年第5期2041-2050,共10页Qijian KANG Maofa WANG; supported by NSFC(12171373).; Infinite matrix theory is an important branch of function analysis.Every linear operator on a complex separable infinite dimensional Hilbert space corresponds to an infinite matrix with respect a orthonormal base of t...; 关键词：Schur test compact operator infinite matrix

Schur Forms and Normal-Nilpotent Decompositions: 《应用数学和力学》2024年第9期1200-1211,共12页LI Zhen; Real and complex Schur forms have been receiving increasing attention from the fluid mechanics community recently,especially related to vortices and turbulence.Several decompositions of the velocity gradient tensor,su...; 关键词：Schur form normal matrix nilpotent matrix tensor decomposition vortex identification

Doubled Hecke Algebras and Related Quantum Schur Duality: 《Algebra Colloquium》2024年第3期417-428,共12页Chenliang Xue An Zhang; supported by the National Natural Science Foundation of China(NSFC)Grant 12071136.; We introduce the doubled Hecke algebra,which is an infinite-dimensional algebra generated by two Hecke algebras.This concept originates from the degenerate doubled Hecke algebra in the theory of Schur-Weyl duality rel...; 关键词：quantum group doubled Hecke algebra quantum q-Schur duality double centralizer

Rational Schur Superalgebras: 《Algebra Colloquium》2024年第2期209-220,共12页Andrew Riesen Shun-Jen Cheng; We develop and study the generalization of rational Schur algebras to the super setting.Similar to the classical case,this provides a new method for studying rational supermodules of the general linear supergroup GL(m...; 关键词：Schur algebra supermathematics general linear supergroup

一个完全对称函数的复合函数Schur凸性的简单证明: 《湖南理工学院学报（自然科学版）》2023年第3期8-11,共4页梁赛男孙明保陈南博; 湖南省教育厅科研项目(20A217,20C0905)。; 针对一个完全对称函数的复合函数Schur凸性问题,基于Schur凸函数的性质给出了已有结果的又一证明.证明的主要思想方法是构造合适的复合函数,并利用复合函数的Schur凸性、Schur凸函数与Schur乘性凸函数或Schur调和凸函数的关系,给出了完...; 关键词：完全对称函数 Schur凸 Schur乘性凸 Schur调和凸

Linear System Solutions of the Navier-Stokes Equations with Application to Flow over a Backward-Facing Step: 《Open Journal of Fluid Dynamics》2023年第3期133-143,共11页Achraf Badahmane; Many applications in fluid mechanics require the numerical solution of sequences of linear systems typically issued from finite element discretization of the Navier-Stokes equations. The resulting matrices then exhibi...; 关键词：Navier-Stokes Equation ΡGMRES Direct Solver Schur Approach PRECONDITIONER

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