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一类带有非退化不变对称双线性函数的幂零李代数 总被引:1,自引:1,他引:0
本文证明了一类带有非退化不变对称双线性函数、幂零指数为N的李代数 满足:定理1.(i)c(g)=g~N; (ii)dimc(g)=l.l是g的生成元个数.定理3给出了这类李代数结构的充分且必要条件. 相似文献
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该文研究 n -Lie代数的非退化不变双线性型. 给出了实数域上紧 n -Lie 代数的概念, 并对其结构进行了研究. 相似文献
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考察了辛代数和与它相联系的李三系的双线性型之间的关系,并证明了辛代数的反对称不变双线性型可以唯一扩张到与它相联系的李三系中.作为这种关系的一个应用,得到了二次辛代数是单辛代数的一个充要条件,并证明二次辛代数的唯一分解定理. 相似文献
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本文给出了非退化可解李代数的两个类型:三次可解型非退化李代数和扩充的 Heisenberg李代数,并确定三次可解型非退化李代数及其导子李代数的结构. 相似文献
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带有非退化不变对称双线性型的有限维可解李代数 总被引:3,自引:0,他引:3
本文讨论复数域上带有非退化不变对称双线性型的,可裂的有限维可解李代数的性质及结构.给出了不可分解的非退化可解李代数的定义.证明了本文所讨论的李代数可以分解成不可分解的非退化可解理想的正交直和.对于不可分解的非退化可解李代数,给出了它关于极大环面子代数的根空间分解;讨论了根空间的结构及运算关系;证明了它的 Cartan 子代数的交换性,并给出了 Cartan子代数的结构. 相似文献
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李双代数的量子化是获取新的量子群的重要方法.本文通过Drinfel'd扭元,对一类Schr(o|¨)dinger-Virasoro型李代数进行了量子化,得到了一类既非交换又非余交换的Hopf代数. 相似文献
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本文考察了反李三系和它的标准嵌入李超代数的Killing型之间的关系,并且证明了反李三系的反对称不变双线性型可以被唯一地扩张到它的标准嵌入李超代数。作为扩张定理的一个应用,得到了二次李和反李三系的唯一分解定理。 相似文献
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Both original and twisted Schr?dinger-Virasoro algebras, and also their deformations were introduced and investigated in a
series of papers by Henkel, Roger and Unterberger. In the present paper we aim at determining the 2-cocycles of original deformative
Schr?dinger-Virasoro algebras.
This work was supported by the National Natural Science Foundation of China (Grant Nos. 10471091, 10671027), Foundation of
Shanghai Education Committee (Grant No. 06FZ029) and “One Hundred Talents Program” from University of Science and Technology
of China 相似文献
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Invariant symmetric bilinear forms for reflection groups 总被引:1,自引:0,他引:1
In this paper we describe a connection between Vinberg's criterion for the existence of an invariant symmetric bilinear form
for a geometric representation of a Coxeter groups and other criteria which are formulated in terms of conjugation invariant
sets of reflections generating a given group. Similar methods lead to the result that every non-symmetrizable Kac--Moody Lie
algebra contains a non-symmetrizable subalgebra of rank 3. Finally we explain how the results for symmetric bilinear forms
can also be obtained for skew-symmetric forms.
Received 3 March 2000. 相似文献
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We give a classification of Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras st). Then we find out that not all Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras st) are triangular coboundary. 相似文献
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Ali Ghaffari 《Proceedings Mathematical Sciences》2005,115(4):453-459
LetM(S) be the Banach algebra of all bounded regular Borel measures on a locally compact Hausdorff semitopological semigroupS with variation norm and convolution as multiplication. We obtain necessary and sufficient conditions forM(S)* to have a topologically left invariant mean. 相似文献
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Ali Ghaffari 《数学学报(英文版)》2008,24(7):1089-1096
In this paper, among other things, the author studies the weak^*-closed left translation invariant complemented subspace of semigroup algebras and group algebras. Also, the author studies the relationships between projections and amenability. 相似文献
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Marcos Dajczer Luis A. Florit 《Proceedings of the American Mathematical Society》2004,132(12):3703-3704
We provide a counterexample to a conjecture on the dimension of the nullity of a flat symmetric bilinear form.
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Carlos E. Kenig Gustavo Ponce Luis Vega 《Transactions of the American Mathematical Society》1996,348(8):3323-3353
This paper is concerned with 1-D quadratic semilinear
Schrödinger equations. We study local well posedness in classical Sobolev space of the associated initial value problem and periodic boundary value problem. Our main interest is to obtain the lowest value of which guarantees the desired local well posedness result. We prove that at least for the quadratic cases these values are negative and depend on the structure of the nonlinearity considered.
Schrödinger equations. We study local well posedness in classical Sobolev space of the associated initial value problem and periodic boundary value problem. Our main interest is to obtain the lowest value of which guarantees the desired local well posedness result. We prove that at least for the quadratic cases these values are negative and depend on the structure of the nonlinearity considered.