云南高校图书馆联盟文献共享服务平台- LIE

LIE: 作品数：646被引量：839H指数：14; 导出分析报告; 相关领域：理学更多>>; 相关作者：张毅梅凤翔梁景辉张建华李元成更多>>; 相关机构：陕西师范大学中国石油大学（华东）北京理工大学山西师范大学更多>>; 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陕西省自然科学基金河南省自然科学基金更多>>

Lie symmetries of mechanical systems with unilateral holonomic constraints被引量：15: 《Chinese Science Bulletin》2000年第15期1354-1358,共5页ZHANG Yi & MEI Fengxiang1. Department of Basic Courses, Suzhou Institute of Urban Construction & Environmental Protection, Suzhou 215011, China 2. Department of Applied Mechanics, Beijing Institute of Technology, Beijing 10008I, China; In the recent twenty years, the study on the Lie symmetries and conserved quantities of constrained mechanical systems has been making great progress[1-5]. Up to now, however, all the studies are limited to the mechan...; 关键词：analytical mechanics UNILATERAL constraint HOLONOMIC system LIE SYMMETRY CONSERVED quantity.

A new definition of restricted Lie superalgebras被引量：3: 《Chinese Science Bulletin》2000年第4期316-321,共6页WANG Ying & ZHANG Yongzheng1. Department of Mathematics, Harbin Institute Technology, Harbin 150001, China 2. Department of Mathematics, Northeast Normal University, Changchun 130024, China; A new definition of restricted Lie superalgebras has been given; some important results on the representation theory of restricted Lie superalgebra have been obtained.; 关键词：RESTRICTED LIE SUPERALGEBRA p-mapping p-semilinear MAPPING α-representation.

Complete Lie algebras: 《Chinese Science Bulletin》1999年第11期961-964,共4页MENG DaojiDepartment of Mathematics , Nankai University, Tianjin 300071, China; A remark on complete Lie algebras is given. Since the theory of complete Lie algebras is still developing, this remark cannot be complete.; 关键词：COMPLETE LIE ALGEBRA DERIVATION center.

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.

Automorphisms with order three of affine Lie algebras: 《Chinese Science Bulletin》1998年第21期1793-1798,共6页JIN Quanqin 1,2 and HOU Zixin 2 1. Department of Mathematics, Hebei University, Baoding 071002, China 2. Department of Mathematics, Nankai University, Tianjin 300071, China; ThisworkwassupportedbytheNationalNaturalScienceFoundationofChina (GrantNo .197310 0 4)andtheNaturalScienceFoundationofHebeiProvince; Some properties of automorphisms of affine Lie algebras are presented. Automorphisms with order three are classified up to conjugacy, and their fixed point sets are also computed. As a corollary, it is proved that two...; 关键词：AFFINE LIE ALGEBRA AUTOMORPHISM of order THREE first (second) kind of automorphism.

Sheets and rigid orbit covers of exceptional Lie groups被引量：1: 《Chinese Science Bulletin》1998年第20期1702-1707,共6页Ke Liang Linyuan Lu; All sheets of exceptional Lie groups by the geometric calculating method are given. The conjecture that the sheets of an exceptional Lie group are disjoint on the basis of the calculating result is proved.; 关键词：LIE group ORBIT sheet.

Simple generalized restricted modules for graded Lie algebras of Cartan type被引量：1: 《Chinese Science Bulletin》1998年第16期1336-1340,共5页SHU Bin Institute of Applied Mathematics & Physics, Shanghai Maritime University, Shanghai 200135, China; ThisworkwassupportedbytheNationalNaturalScienceFounda tionofChina (GrantNo .96 0 10 11); Let %L=X(m:n) (2), X∈{W,S,H,K}% be a simple graded Lie algebra of Cartan type over a field %F% of characteristic p>3. With the aid of Farnsteiner’s generalized reduced Verma module, a connection between the simple G...; 关键词：LIE algebra of CARTAN TYPE GENERALIZED RESTRICTED MODULE GENERALIZED reduced Verma module.

Induction-by-stages of Dixmier algebras and orbit datum and its application: 《Chinese Science Bulletin》1998年第10期818-820,共3页LIANG Ke Department of Mathematics, Nankai University, Tianjin 300071, China; theNationalNaturalScienceFoundationofChina (GrantNo .192 310 30 1); The purpose of the present note is to prove that the parabolic inductions of the orbit datum and Dixmier algebras can be induced by stages. And as an appliction, we have proved that for SO(2n+1, C), SP(2n, C), F\-4 an...; 关键词：dixmier ALGEBRA ORBIT data representation of LIE group.

The realization and structure of complete Lie algebras whose nilpotent radicals are Heisenberg algebras被引量：1: 《Chinese Science Bulletin》1998年第5期383-385,共3页JIANG Cuibo 1 and MENG Daoji 2 1.Department of Mathematics,Yantai Teachers University, Yantai 264025, China 2.Department of Mathematics,Nankai University,Tianjin 300071, China.; ThisworkwassupportedbytheNationalNaturalScienceFoundationofChina (GrantNo . 196 0 10 32and196 710 45 )andtheNaturalScienceFoundationofShandongProvince (GrantNo .Y96A0 30 0 7); The realization and structure of complete Lie algebras whose nilpotent radicals are Heisenberg algebras over the complex field C are given.; 关键词：complete LIE ALGEBRA HEISENBERG ALGEBRA NILPOTENT radical.

Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic被引量：75: 《Chinese Science Bulletin》1997年第9期720-724,共5页ZHANG YongzhengDepartment of Mathematics, Northeast Normal University, Changchun, 130024, China; IN this note the infinite-dimensional Lie superalgebras of Cartan type X(m,n)(X=W,S,H or K)over field F of prime characteristic are constructed.Then the second class of finite-dimensional Lie superalgebras of Cartan t...; 关键词：EXTERIOR ALGEBRA LIE SUPERALGEBRA filtration.

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