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SEMISIMPLE: 作品数：23被引量：19H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：任艳丽王尧杨宗文张晓辉胡长流更多>>; 相关机构：鞍山师范学院南开大学东南大学云南大学更多>>; 相关期刊：《Science China Mathematics》《Science Bulletin》《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》更多>>; 相关基金：国家自然科学基金更多>>

THE BSE PROPERTY FOR SOME VECTOR-VALUED BANACH FUNCTION ALGEBRAS: 《Acta Mathematica Scientia》2024年第5期1945-1954,共10页Fatemeh ABTAHI Ali REJALI Farshad SAYAF; In this paper,X is a locally compact Hausdorff space and A is a Banach algebra.First,we study some basic features of C0(X,A)related to BSE concept,which are gotten from A.In particular,we prove that if C0(X,A)has the ...; 关键词：BSE algebras BSE-function BSE norm multiplier algebra SEMISIMPLE without order

The Enhanced Period Map and Equivariant Deformation Quantizations of Nilpotent Orbits: 《Acta Mathematica Sinica,English Series》2024年第3期885-934,共50页Shi Lin YU; Supported by China NSFC grants(Grant Nos.12001453 and 12131018);Fundamental Research Funds for the Central Universities(Grant Nos.20720200067 and 20720200071)。; In a previous paper,the author and his collaborator studied the problem of lifting Hamil-tonian group actions on symplectic varieties and Lagrangian subvarieties to their graded deformation quantizations and apply the...; 关键词：Coadjoint orbit method deformation quantization Harish-Chandra modules semisimple Liegroups

The Weyl’s Theorem and Its Perturbations in Semisimple Banach Algebra被引量：2: 《Acta Mathematica Sinica,English Series》2021年第5期675-688,共14页Ying Ying KONG Li Ning JIANG Yan Xun REN; Supported by NSFC(Grant No.11871303)。; Denote a semisimple Banach algebra with an identity e by A.This paper studies the Fredholm,Weyl and Browder spectral theories in a semisimple Banach algebra,and meanwhile considers the properties of the Fredholm eleme...; 关键词：Semisimple Banach algebra Fredholm element Browder element Weyl’s theorem perturbation

Multiplicity-Free Gradings on Semisimple Lie and Jordan Algebras and Skew Root Systems: 《Algebra Colloquium》2019年第1期123-138,共16页Gang Han Yucheng Liu Kang Lu; The first author is supported by Zhejiang Province Science Foundation (grant No. LY14A010018).; A G-grading on an algebra, where G is an abelian group, is called multiplicityfree if each homogeneous component of the grading is 1-dimensional. We introduce skew root sys tems of Lie type and skew root systems of Jo...; 关键词：multiplicity-free grading symplectic abelian group SKEW root system SIMPLE LIE ALGEBRA SIMPLE Jordan ALGEBRA

Multiplicative Jordan Decomposition in Integral Group Ring of Group K_8×C_5: 《Communications in Mathematical Research》2017年第1期64-72,共9页Wang Xiu-lan Zhou Qing-xia; In this article,we present the multiplicative Jordan decomposition in integral group ring of group K8 × C5,where K8 is the quaternion group of order 8.Thus,we give a positive answer to the question raised by Hales A ...; 关键词：integral group ring Jordan decomposition semisimple element nilpotent element

Irreducible Representations of Algebraic Group SL(6,K) in charK=3: 《Advances in Pure Mathematics》2014年第10期535-544,共10页Zhongguo Zhou; For each irreducible module Xi Nanhua defined an element which generated this module. We use this element to construct a certain basis for and then compute dim , determine its formal characters in this paper. In order...; 关键词：IRREDUCIBLE Character SEMISIMPLE ALGEBRAIC Group Composition Factor

Construction of semisimple category over generalized Yetter-Drinfeld modules: 《Journal of Southeast University(English Edition)》2013年第4期467-469,共3页张晓辉王栓宏; The National Natural Science Foundation of China(No.11371088);the Fundamental Research Funds for the Central Universities(No.3207013906);the Natural Science Foundation of Jiangsu Province(No.BK2012736); Let H be a commutative, noetherian, semisimple and cosemisimple Hopf algebra with a bijective antipode over a field k. Then the semisimplicity of YD（H） is considered, where YD （H） means the disjoint union of the c...; 关键词：semisimple Hopf algebra semisimple category generalized Yetter-Drinfeld module

Some Characterizations of Strongly Semisimple Ordered Semigroups: 《Communications in Mathematical Research》2013年第2期155-166,共12页Tang Jian Xie Xiang-yun Du Xian-kun; The NSF (10961014) of China;the NSF (S2011010003681) of Guangdong Province;the Science and Technology Projects (2010B010600039) of Guangdong Province;the Excellent Youth Talent Foundation (2012SQRL115ZD) of Anhui Province;the University Natural Science Project (KJ2012B133) of Anhui Province;the NSF (2007LZ01) of Fuyang Normal College; In this paper, the concept of quasi-prime fuzzy left ideals of an ordered semigroup S is introduced. Some characterizations of strongly semisimple ordered semigroups are given by quasi-prime fuzzy left ideals of S. In...; 关键词：ordered semigroup ordered fuzzy point quasi-prime fuzzy left ideal strongly semisimple ordered semigroup

LOCAL AUTOMORPHISMS OF SEMISIMPLE ALGEBRAS AND GROUP ALGEBRAS: 《Acta Mathematica Scientia》2011年第4期1600-1612,共13页王登银关琦张冬菊; Supported by the Fundamental Research Funds for the Central Universities; Let F be a field of characteristic not 2, and let A be a finite-dimensional semisimple F -algebra. All local automorphisms of A are characterized when all the degrees of A are larger than 1. If F is further assumed to...; 关键词：local automorphisms simple F -algebras semisimple F -algebras group algebras

The Semisimplicity of L^i(K,w) of a Weighted Commutative Hypergroup K: 《Acta Mathematica Sinica,English Series》2008年第4期607-610,共4页M.LASHKARIZADEH BAMI; both The Research Affairs (Research Project No.850709);The Center of Excellence for Mathematics of the University of Isfahan; In the present paper, it is shown that, for a locally compact commutative hypergroup K with a Borel measurable weight function w, the Banach algebra L^1 （K, w） is semisimple if and only if L^1 （K） is semisimple. I...; 关键词：locally compact hypergroups semisimple Banach algebras

SEMISIMPLE