共查询到18条相似文献,搜索用时 98 毫秒
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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)). 相似文献
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管冰辛 《数学的实践与认识》2001,31(4):478-482
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 相似文献
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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. 相似文献
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Poincare‘—Cartan积分不变量的推广和Dirac猜想 总被引:2,自引:0,他引:2
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. 相似文献
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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. 相似文献
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SL(3,p~n)的Cartan不变量 总被引:1,自引:0,他引:1
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。 相似文献
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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 Γn = SL(3,pn) be a finite subgroup consisting of fixed points of the Frobenius morphism F2 of G. 相似文献
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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。 相似文献
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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. 相似文献
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In this paper we prove that the groupws SL(n,q), q=pm, are factors of the modular groups PSL(2,Z) When n=5,6,7 and P≠2, q≠9 相似文献
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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. 相似文献
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HRANDERMULTIPLIERTHEOREMONSU(2)¥FANDASHAN;XUZENGFU(DepartmentofMathematics,AuhuiUniversitytHefei230039,China.)Abstract:Abound... 相似文献
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SL(n,C)中的一些特殊可解子群及应用 总被引:1,自引:0,他引:1
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. 相似文献
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The Cartan matrix for the finite symplectic group Sp(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. 相似文献