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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>>

Complete Lie algebras with maximal-rank nilpotent radicals被引量：2: 《Chinese Science Bulletin》1999年第4期312-315,共4页ZHU Linsheng and MENG Daoji Department of Mathematics, Changshu College , Changshu 215500, China Department of Mathematics, Nankai University, Tianjin 300071, China; Ccmplete Lie algebras with maximal-rank nilpotent radicals are constructed by using the representation theory of complex semisimple Lie algebras. A structure theorem and an isomorphism theorem for this kind of complet...; 关键词：complete LIE ALGEBRA NILPOTENT LIE ALGEBRA with MAXIMAL RANK IRREDUCIBLE module.

Relations of representations of A_∞ and C_∞: 《Chinese Science Bulletin》1996年第14期1155-1159,共5页姜翠波孟道骥; In refs. [1—3] level one highest weight representations of complete infinite rank affine Lie algebra A_∞ were discussed. Since C_∞ is a subalgebra of A_∞, any representation of A_∞ induces a representation of C_...; 关键词：complete INFINITE rank AFFINE LIE algebra INTEGRABLE REPRESENTATION IRREDUCIBLE highest weight representation.

Irreducible Operators and Spectral Pictures: 《Chinese Science Bulletin》1994年第24期2025-2027,共3页蒋春澜续辉; A (bounded finear) operator T on a (separable, infinite, dimensional, complex) Hilbert space (?) is said to be irreducible if there is no nontrivial (orthogonal) projection P commuting with T. In Ref. [1], Halmos prov...; 关键词：SPECTRAL PICTURE IRREDUCIBLE operator.

THE INDICES OF CONVERGENCE FOR IRREDUCIBLE AND NEARLY REDUCIBLE BOOLEAN MATRICES: 《Chinese Science Bulletin》1990年第13期1138-1139,共2页邵嘉裕; The index of convergence k（A）of a square Boolean matrix A is defined to be the least nonnegative integer k such that A^k= Ak¹ for some k₁>k; and the index of convergence k（D） of ...; 关键词：integer NONNEGATIVE SCHWARZ BOOLEAN connected FORMULAS letter length indices

THE INDICES OF CONVERGENCE FOR REDUCIBLE BOOLEAN MATRICES: 《Chinese Science Bulletin》1990年第10期875-876,共2页邵嘉裕; In the study on the indices of convergence of primitive and irreducible Boolean matrices, many interesting results have been obtained, but up to now, very few works are seen for reducible Boolean matrices. Indeed the ...; 关键词：IRREDUCIBLE MATRICES BOOLEAN nontrivial PRIMITIVE indices holds 了派

A CLASS OF FINITE RINGS HAVING ONLY TWO-SIDED ZERO DIVISORS: 《Chinese Science Bulletin》1986年第19期1361-1362,共2页蒋滋梅; In Mathematische Annalen, （171 （1967）, 79—80）,K. Koh showed that, if a ring R contains n（n>1） left （right） zero divisors, then |R|≤n2. In Journal of Beijing Normal University, （1983, 3:1—5）, Wu Pinsan stu...; 关键词：COMMUTATIVE RINGS CLASS sided IRREDUCIBLE satis POLYNOMIAL LETTER 二止

ON THE NUMBER OF IRREDUCIBLE MODULAR REPRESENTATIONS IN P-BLOCKS: 《Chinese Science Bulletin》1986年第15期1077-1078,共2页石生明; G is a finite group, F is a splitting field of G with characteristic p. FG is the group algebra. We denote FG by R. Let J(R) be the radical of R. For a subalgebra W of R, let (?)=(W+J(R))/J(R), and it is a subalgebra ...; 关键词：IRREDUCIBLE ALGEBRA INTEGER SPLITTING LEMMA 二万

THE MINIMAL GRAPHS WITH CHARACTERISTIC POLYNOMIALS INSOLVABLE BY RADICALS: 《Chinese Science Bulletin》1985年第10期1299-1302,共4页冯克勤; Cvetkovié, Doob and Sachs raise nine open problems on spectra of graphs in their book (see [1], p. 266—267). The seventh problem is as follows: 'Find a graph G for which the equation P_G(λ)=0 cannot be solved by ra...; 关键词：polynomial SOLVABLE Sachs RAISE briefly IRREDUCIBLE determ PROPOSITION SUBGROUP verify

WEAK IRREDUCIBILITY OF MATRIX AND SPECTRAL INCLUSION REGIONS: 《Chinese Science Bulletin》1985年第2期275-,共1页逢明贤; Let Г(A) be a directed graph of the matrix A of order n. We say that A is weakly irreducible, if every vertex of Г(A) belongs to some circuit of Г(A). A matrix is weakly irreducible iff there exists a permutation m...; 关键词：IRREDUCIBLE WEAKLY VERTEX belongs PERMUTATION directed 火界 TENSOR

ARITHMETIC CHARACTERI ZATION OF ALGEBRAIC NUMBER FIELDS WITH GIVEN CLASS GROUP: 《Chinese Science Bulletin》1984年第3期419-420,共2页冯克勤; It is well known that the class group C（K） of an algebraic number field K is {1} iff the integer ring OK of K is UFD. In 1960, L. Carlitz discovered that K with C（K）= C2 can be characterized by C（K）（?）{1} and ...; 关键词：IRREDUCIBLE INTEGER ALGEBRAIC CLASS 璧田 offered

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