共查询到20条相似文献,搜索用时 15 毫秒
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本文通过构造一类模线状李代数,求出了它的导子代数,并且证明这个导子代数是可解但不完备的模李代数.这将有利于研究一般模线状李代数的结构. 相似文献
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本文刻划了一类幂零根基为二步幂零李代数的新的非可解对称自对偶李代数.当其Levi因子同构于sl(2,C)时,用半单李代数的表示理论具体构造了它们.最后,给出了■2中对称自对偶李代数是CS李代数的一个判别准则。 相似文献
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Fang Jie 《数学年刊B辑(英文版)》1996,17(2):213-218
An algeber L is said to be simple, if its congruence lattice Con L reduces to the 2-elementchain {ω,v}. This paper describes the structure of finite simple Ockham algebras. 相似文献
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量子环面上一类结合代数的表示 总被引:1,自引:0,他引:1
叶从峰 《数学年刊A辑(中文版)》2004,(2)
本文研究了与量子环面CQ[x±1,y±1](见[6])有关的一类结合代数的表示.该结合代数的表示与广义仿射李代数(见[1])的表示理论密切相关.本文推广了[5]的部分结果. 相似文献
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胡庆平 《纯粹数学与应用数学》1996,12(2):47-51
定义了一族偏代数物积偏代数的概念,且对偏代数间的同态映射,由同态映射诱导的合同关系及由同态映射和合同关系诱导的合同关系与积偏代数一起作了深入的讨论,分别得到了一些有意义的结果。 相似文献
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量子环面上一类导子李代数的结构和自同构群 总被引:2,自引:0,他引:2
本文研究量子环面上的一类导子李代数,它包含了Virasoro-Like代数及其q类似.首先证明了这 类导子李代数之间的同构一定是分次同构,并进一步给出了代数同构的充要条件及同构映射的具体表达 式,最后确定了该类李代数的自同构群. 相似文献
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This paper characterizes ideal structure of the uniform Roe algebra B*(X) over simple cores X. A necessary and sufficient condition for a principal ideal of B*(X) to be spatial is given and an example of non-spatial ideal of B*(X) is constructed. By establishing an one-one correspondence between the ideals of B* (X) and the ω-filters on X, the maximal ideals of B*(X) are completely described by the corona of the Stone-Cech compactification of X. 相似文献
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<正> 决定复单李群(代数)的Betti数是个经典的问题.大家知道,它们就是该李群(代数)的Poincare多项式 相似文献
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ON THE COHOMOLOGY OF GENERALIZED RESTRICTED LIE ALGEBRAS 总被引:2,自引:0,他引:2
Shu Bin 《数学年刊B辑(英文版)》1998,19(4):421-432
0.IntroductionThispaperisaimedatdevelopingthecohomologytheoryofmodularLiealgebrasandthendeterminingthefirstcohomologygroupsofCartantypeLiealgebras.AsgeneralizationoftheconceptofrestrictedLiealgebras,ageneralizedrestrictedLiealgebra(GRLiealgebra)wasintroducedin[21],whichisassociatedwithabasisandamappingofthebasisintotheLiealgebrasatisfyingthegeneralized-restrictednessconditions.Generalizedrestrictedrepresentations(GRrepresentations)werethenintroduced,whichcanbereducedtotherepresentationsofa… 相似文献
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本文研究了完备布尔代数L的商格Q(L),建立 L上q-集构成的集合Q′(L)与Q(L)之间的同构,得出了完备布尔代数的商格仍是完备布尔代数,并给出了完备布尔代数范畴的某些性质. 相似文献
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For a Banach algebra A,we denote by A* and A** the first and the second duals of A respectively.Let T be a mapping from A* to itself.In this article,we will investigate some stability results concernin... 相似文献
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ON NEW SIMPLE LIE ALGEBRAS OF SHEN GUANGYU 总被引:2,自引:1,他引:1
Fei Qingyun 《数学年刊B辑(英文版)》1989,10(4):448-457
In Shen Guangyu constructed two classes of simple Lie algebras ∑, , and proved that ∑ is new. This paper gives the invariant filtrations and the associated graded algebras of ∑, . Itfollows that is new too. Moreover, the author gives some new invariants of ∑, and refines some results of Shen Guangyu [1, 4]. 相似文献
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ON Δ-GOOD MODULE CATEGORIES OF QUASI-HEREDITARY ALGEBRAS 总被引:2,自引:0,他引:2
A useful reduction is presented to determine the finiteness of △-good module category F(△)of a quasi-heredltary algebra. As an application of the reduction, the f(△)-finitenetess of quasi-hereditary M-twisted double incidence algebras of posets is discussed. In particular, a complete classification of F(△)-finite M-twisted double incidence algebras is given in case the posets are linearly ordered. 相似文献
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本文主要研究了三角代数上的初等映射的可加性.利用矩阵分块理论,证明了三角代数上的初等映射是可加的. 相似文献
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孙建华 《数学物理学报(B辑英文版)》2003,(2)
Some basic properties of the antipode of an N0I-graded x-Hopf algebra are studied. Also, several equivalent conditions of an N0I-graded x-bialgebra (x-Hopf algebra) are given. 相似文献