有限辛群Sp(4,11)的Cartan不变量矩阵(英文)

本文计算了B_2型有限辛群Sp(4,11)的Cartan不变量矩阵C=(c_((λμ)~((1)))_(λμ∈X_1(Y)).     

第一类超Cartan域上双全纯不变量的极限

本文讨论了第一类超 Cartan域 YI上的双全纯不变量 JY1(w,z;w,z)以及当 (w,z)趋于边界 YI时JYI的极限     

一些特殊变换群的联合不变量和联合微分不变量

The theory of moving frames developed by Peter J Olver and M Fels has importaut applications to geometry,classical invariant theory.We will use this theory to classify joint invariants and joint differential invariants of some transformation groups.     

Poincare‘—Cartan积分不变量的推广和Dirac猜想

该文将Poincare－Cartan积分不变量推广到显含时间的高阶微商奇异拉氏量系统，研究了该不变量与正则方程、正则变换之间的联系，讨论了广义Poincare－Cartan积分不变量与Dirac猜想的关系，以一个例子说明，对高阶微商奇异拉氏量系统，Dirac猜想是无效的．     

广义Witt代数$W(2, 1)$的投射不可分解模和Cartan不变理

研究了特征为2的代数闭域上广义Witt代数$W(2,\mathbf{1})$的 投射不可分解模, 给出了特征标高度$ht\chi\leq 0$的所有投射不可分解模同构类的代表元和Cartan不变量. 并且进一步讨论了既约包络代数$u(W(2,\mathbf{1}),\chi)$ 的表示型.     

SL(3,p~n)的Cartan不变量

K表示特征数p>0的代数闭域。G是K上单连通半单代数群。Γ_n=G(FP~n)是P~n个元素的有限域上型G的有限Chevalley群,它在K上的群代数是KΓ_n.Λ_n表示不同构的不可约KΓ_n-模M_(λ,n)的指标集,也是不同构的主不可分解KΓ_n-模R_(λ,n)的指标集,它可以看作G的权格X中“限制”优势权的集合X_(p~n)。因此|Λ_n|=p~(R·rankG.Γ_n的Cartan不变量C_(λ,μ(λ,μ∈Λ_n)等于M_(μ,n)作为R_(λ,n)的合成因子出现的重数,形成|Λ_n|阶对称矩阵。     

SL(3,pn)的Cartan不变量

Let G = SL(3,K) be a simply connected, semi-simple algebraic group of type A₂ over an algebraically closed i'ield K of characteristic p>0. Let Γ_n = SL(3,pⁿ) be a finite subgroup consisting of fixed points of the Frobenius morphism F² of G.     

Birkhoff系统的Poincare—Cartan积分不变量

基于现代微分几何学，分析了作为保守系统和非保守系统的推广－Birkhoff系统的辛结构。构造Birkhoff系统的Poincare-Cartan积分不变量。最后，将一维阻尼振动作为示例，求出其Poincare积分不变量。     

Classification of bernstein algebras of type (3, n - 3)

A classification of Bernstein algebras in dimensions n ? 4 has been made by Holgate in [2], however that article contains no classification up to isomorphism, the problem is solved by Lyubich in [4] when K = R or C, and by Cortes [1] in the general case. Also Lyubich has given in [5] a classification of the regular nonexceptional Bernstein algebra of type (3,n?3) and a classification but not up to isomorphism of nonregular nonexceptional Bernstein algebras of type (3,n ? 3) when K = C. The aim of this paper it to characterize, up to isomorphism, Bernstein algebras of type(2, n ? 2) and nonexceptional of type(3, n ?3) over a infinite commutative field K whose characteristic is different from 2.     

(2,3)-Generation of SL(n,q).I. cases n=5,6,7

In this paper we prove that the groupws SL(n,q), q=p^m, are factors of the modular groups PSL(2,Z) When n=5,6,7 and P≠2, q≠9     

Cartan Invariants in the Category of Restricted Representation for gl(m|n)

Let k be an algebraically closed field of characteristic p 2, and gl(m|n) be the general linear Lie superalgebra over k. The Cartan invariants for the restricted supermodule category for gl(m|n) are presented.     

HORMANDER MULTIPLIER THEOREM ON SU(2)

ＨＲＡＮＤＥＲＭＵＬＴＩＰＬＩＥＲＴＨＥＯＲＥＭＯＮＳＵ（２）￥ＦＡＮＤＡＳＨＡＮ；ＸＵＺＥＮＧＦＵ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＡｕｈｕｉＵｎｉｖｅｒｓｉｔｙｔＨｅｆｅｉ２３００３９，Ｃｈｉｎａ．）Ａｂｓｔｒａｃｔ：Ａｂｏｕｎｄ...     

SL(n,C)中的一些特殊可解子群及应用

给出了SL(n,C)中的几类特殊可解子群,并应用于Fuchs系统.由Fuchs方程的单值群的可解性与其可积性的关系,给出了其可积的一些条件.     

Cartan Matrix for the Finite Symplectic Group <Emphasis Type="Italic">Sp</Emphasis>(6, 3)

The Cartan matrix for the finite symplectic group S_p(6, 3) over a field of three elements is computed in this paper by using a computer and the MATLAB software.2000 Mathematics Subject Classification: 20C33 20C40, 20G05Supported in part by the NNSFC (10271088) and the Foundation for the University Science and Technology Development of Shanghai.     

SL(n,C)上一类特殊可解子群的结构及其在Fuchs系统中的应用

给出了SL(n,C)中一类特殊的具有有限个生成元的可解子群的结构定理.由单值群的可解性与Fuchs系统的可积性之间的关系,研究对应的单值群是可解的环面上只有一个正则起点的n阶Fuchs方程的解Riemann曲面结构,进而研究其解的大范围性质.