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把文[1]中结果推广到Reinhardt域D=D(K1K2…Kp)C(1≤p<n).即证明了从域D的任一不变Khler度量都可以导出相同的Aut(D) 相似文献
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关于自同构作用下的不变元 总被引:1,自引:0,他引:1
文章主要讨论了代数(环)、(双)Hopf代数中自同构作用下不变元素的性质,得到一些新的结果:设A是有限维半单代数,则AutA作用下的不变元属于中心,并且举出反例说明这个性质不能一般化到有限维代数、有限维半单(双)Hopf代数. 相似文献
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Camina—Gagen定理的一个推广 总被引:8,自引:0,他引:8
在这篇文章中,我们考虑2-(v,k,1)设计D上的自同构群,得到了如下结果:若G≤AutD,且G是线一本原的,则当(k,v)=k/k2时(k2≤4),G也是点一本原的。k2=1是Camina-Gag-en的结果。 相似文献
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Hadamard积和酉不变范数不等式 总被引:9,自引:0,他引:9
设Mn,m是n×m复矩阵空间,Mn≡Mn,n.对于Hermite阵G,H∈Mn,GH表示G-H半正定.记A和B的Hadamard积为AB.本文证明了若A,B∈Mn正定,而X,Y∈Mn,m任意,则(XA-1X)(YB-1Y)(XY)(AB)-1(XY),XA-1X+YB-1Y(X+Y)(A+B)-1(X+Y).这推广和统一了一些现存的结果.设‖·‖为任意酉不变范数,I是单位矩阵.本文还证明了对于X∈Mn,m和A∈Mn,B∈Mm,若AI,BI,则函数f(p)=‖ApX+XBp‖在[0,∞)上单调递增. 相似文献
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Throughoutthispaper,Gisafinitegroup.SetAutG(H)=NG(H)/CG(H)forH≤G.In[DM],authorsgavethefolowingdefinitions:(1)LetH≤G,AutG(H)=N... 相似文献
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刘庆晖 《数学物理学报(A辑)》1999,19(2):233-240
该文利用「1」中关于可反转映射的KAM定理,证明一定条件下R^3上的可反转映射在不动点附近存在不变锥面,并验证Fibonacci迹映射中这种不变锥面。 相似文献
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在本文,我们证明了:若群G满足Sz(22m+1)≤G≤AutSz(22m+1)m≥1,且G作用在2-(v.k.1)设计上是线本原的,则G也是点本原的. 相似文献
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Whitney关于偶函数的结果给出了一个变元且在Z_2群{±1}下不变的C~∞函数芽的典型形式:如果f∈E_1且f(-x)=f(x),则存在h∈E_1使得f(x)=h(x~2).该文将借助Malgrange预备定理和有关的计算,得出R~n在原点且在群{±I_n}下不变的C∞函数芽的典型形式. 相似文献
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本把[1]的结果推广到更广泛的一类Reinhardt域D=D(k1k2…kp)包含C^n(1≤p相似文献
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Marcus Kracht 《Mathematical Logic Quarterly》2002,48(1):29-50
A moda logic Λ is called invariant if for all automorphisms α of NExt K , α(Λ) = Λ. An invariant ogic is therefore unique y determined by its surrounding in the attice. It wi be established among other that a extensions of K.alt 1 S4.3 and G.3 are invariant ogics. Apart from the results that are being obtained, this work contributes to the understanding of the combinatorics of finite frames in genera, something wich has not been done except for transitive frames. Certain useful concepts will be established, such as the notion of a d‐homogeneous frame. 相似文献
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Let X be a G-space such that the orbit space X/G is metrizable. Suppose a family of slices is given at each point of X. We study a construction which associates, under some conditions on the family of slices, with any metric on X/G an invariant metric on X. We show also that a family of slices with the required properties exists for any action of a countable group on a locally compact and locally connected metric space. 相似文献
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本文利用周期变换和积分流形理论研究平面周期扰动系统,在强共振情况下获得了从一阶细焦点分支出不变环面的简洁条件,本文中的非共振条件不同于[5]中所给出的非共振条件. 相似文献
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空间齐次性是Rd上Levy过程的一个重要特性,本文考虑超Levy过程的类似性质,即是分布意义下的平移不变性,并且对一类特殊的测度值分支过程当其初始测度是Lensgue测度时,得到了更强的结果. 相似文献
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Let G be a locally compact Hausdorff group. It is proved that: 1. on each Palais proper G-space X there exists a compatible family of G-invariant pseudometrics; 2.the existence of a compatible G-invariant metric on a metrizable proper G-space X is equivalent to the paracompactness of the orbit space X/G; 3. if in addition G is either almost connected or separable, and X is locally separable, then there exists a compatible G-invariant metric on X.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
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Alan Hopenwasser 《Proceedings of the American Mathematical Society》2001,129(2):389-395
Every invariant linear manifold for a CSL-algebra, , is a closed subspace if, and only if, each non-zero projection in is generated by finitely many atoms associated with the projection lattice. When is a nest, this condition is equivalent to the condition that every non-zero projection in has an immediate predecessor ( is well ordered). The invariant linear manifolds of a nest algebra are totally ordered by inclusion if, and only if, every non-zero projection in the nest has an immediate predecessor. 相似文献
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§ 1.Introduction LetRnbendimensionalEuclideanspace,and (f1,… ,fm,Rn)acontractioniteratedfunctionsystem .Itiswellknownthatthereexistsauniquenon emptycompactsetEsuchthatE =∪mi=1 fi(E) .WecallthesetEinvarintsetfor (f1,… ,fm,Rn) . Let (f1,… ,fm,Rn)beacontractioniteratedfunct… 相似文献