共查询到20条相似文献,搜索用时 109 毫秒
1.
《数学物理学报(A辑)》2010,(6)
该文通过确定生成既约包络代数的极小左理想的极大权向量来确定不可约模,给出了特征p=2上的Special代数S(3,1)的特征标x的高度≤0的不可约模同构类的代表元以及它们的维数. 相似文献
3.
利用广义限制李代数的概念和性质,研究Contact代数K(m,n)的不可约表示,给出了特征标高度大于等于2且小于P-3的不可约K(m,n)-模的结构. 相似文献
4.
利用广义限制李代数的概念和性质,研究Contact代数K(m,n)的不可约表示,给出了特征标高度大于等于2且小于p-3的不可约K(m,n)-模的结构. 相似文献
5.
在一类无限维非交换Hopf代数上,借助其Hopf理想,构造出商Hopf代数,讨论了此商代数上的有限维不可约模,得出此非平凡不可约模的维数一定是2. 相似文献
6.
阶化Cartan型李代数的上同调 总被引:1,自引:0,他引:1
本文利用广义限制李代数的概念和应用Frobenius代数的一些性质来研究广义限制李代数的广义限制完备上同调,并利用广义限制上同调与通常上同调的关系尝试着给出一种计算系数为不可约模的阶化Cartan型李代数上同调的方法. 相似文献
7.
蒋志洪 《数学年刊A辑(中文版)》2002,(4)
本文利用广义限制李代数的概念和应用Frobenius代数的一些性质来研究广义限制李代数的广义限制完备上同调,并利用广义限制上同调与通常上同调的关系尝试着给出一种计算系数为不可约模的阶化Cartan型李代数上同调的方法. 相似文献
8.
设g(A)是结合于仿射型广义Cartan矩阵A的Kac-Moody代数,L(Λ)(Λ∈P )是g(A)上可积不可约的最高权模。文献[1]证明了L(Λ)的支配极大权只有有限个,并且决定了A~((k))_l,D~((k))_l,E~((k))_l(k=1,2,3)型Kac-Moody代数上水平1的可积不可约模L(Λ)的极大权集及权系。本文试图用不同于[1]的方法,也是更直接的方法,来决定C~((1))_2,G~((1))_2型Kac-Moody代数上基本不可约模L(Λ)的极大权集和权系。 本文所使用的术语和记号均见文献[1]。 相似文献
9.
10.
研究R0-代数中极大滤子的结构性质,通过引入有限平方交性质的概念证明了素理想定理;在全体极大滤子之集上引入了Stone拓扑,研究了Stone空间的性质;在R0-代数中引入了Boole-元的概念,证明了R0-代数的Stone拓扑表示定理,即,全体Boole-元作为Boole代数同构于该R0-代数的Stone空间中的全体既开又闭子集构成的Boole代数。Boole代数的Stone拓扑表示定理可作为该表示定理的特例而给出。 相似文献
11.
Shohei Izawa 《Algebra Universalis》2013,69(4):327-356
First, we prove two finite algebras are categorically equivalent if and only if the matrix products of their irredundant non-refinable covers are isomorphic. Second, we characterize families of irreducible algebras such that there exists an algebra whose neighbourhoods in an irredundant non-refinable cover are isomorphic to the respective irreducible algebra in the given family. Finally, we exhibit two facts by constructing examples. The first one is that there is a family of irreducible algebras such that there are many algebraic structures whose neighbourhoods in an irredundant non-refinable cover are isomorphic to the respective irreducible algebra in the given family. The second example is an algebra such that the matrix product of an irredundant non-refinable cover is bigger than the given algebra. 相似文献
12.
We consider the Borcherds-Cartan matrix obtained from a symmetrizable generalized Cartan matrix by adding one imaginary simple root. We extend the result of Gebert and Teschner [Lett. Math. Phys., 1994, 31: 327-334] to the quantum case. Moreover, we give a connection between the irreducible dominant representations of quantum Kac-Moody algebras and those of quantum generalized Kac-Moody algebras. As the result, a large class of irreducible dominant representations of quantum generalized Kac-Moody algebras were obtained from representations of quantum Kac-Moody algebras through tensor algebras. 相似文献
13.
Michael Leinert 《manuscripta mathematica》1973,10(3):297-306
Let A and B be Banach algebras. If B is an abstract Segal algebra in A, we have a bijective correspondence between the strictly irreducible representations of A and those of B. This gives a bijective correspondence for maximal modular left ideals. If A and B have approximate right units, we obtain a bijective correspondence for right resp. Two-sided ideals. For two-sided ideals this correspondence preserves the property of an ideal having approximate right units. This generalizes a Theorem by H. Reiter.It would be sufficient to require B to be a Banachspace. 相似文献
14.
We consider maximal Jordan algebras of matrices with bounded number of eigenvalues. Up to simultaneous similarity we list
all irreducible algebras of that kind, and we also give a list of some reducible such algebras. We also study automorphisms
of Jordan algebras of matrices.
Research supported in part by the NSERC of Canada and by the Ministry of Science and Technology of Slovenia. 相似文献
15.
1989年Meyor为计算马尔可夫链的平稳分布向量构造了一个算法,首次提出非负不可约矩阵的Perron补矩阵的概念,本给出非负不可约矩阵A的广义Perron补矩阵若干性质,并且证明若矩阵A是不可约逆M-矩阵,其广义Perron补矩阵也是不可约逆M-矩阵。 相似文献
16.
关于非负不可约矩阵的广义Perron补的一些性质 总被引:2,自引:0,他引:2
1989年Meyer为计算马尔可夫链的平稳分布向量构造了一个算法,首次提出非负不可约矩阵的Perron补的概念。本文给出非负不可约矩阵A的广义Perron补若干性质,并且证明当矩阵A是不可约逆M-矩阵,其广义Perron补也是不可约逆M-矩阵。 相似文献
17.
《Journal of Pure and Applied Algebra》2023,227(5):107275
In this article, we realize the finite range ultragraph Leavitt path algebras as Steinberg algebras. This realization allows us to use the groupoid approach to obtain structural results about these algebras. Using the skew product of groupoids, we show that ultragraph Leavitt path algebras are graded von Neumann regular rings. We characterize strongly graded ultragraph Leavitt path algebras and show that every ultragraph Leavitt path algebra is semiprimitive. Moreover, we characterize irreducible representations of ultragraph Leavitt path algebras. We also show that ultragraph Leavitt path algebras can be realized as Cuntz-Pimsner rings. 相似文献
18.
《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1999,328(11):955-958
We extend part of Cannes' work on the Riemann hypothesis to zeta functions of simple algebras. To any irreducible cuspidal automorphic representation of the units in such an algebra we attach, in a natural way, an operator the spectrum of which consists of the critical zeros of its L-function. 相似文献
19.
李华 《数学的实践与认识》2007,37(13)
1989年Meyer为计算马尔可夫链的平稳分布向量构造了一个算法,首次提出非负不可约矩阵的Perron补的概念.在非负不可约矩阵的广义Perron补若干性质的基础上,给出逆N0-矩阵的几个性质. 相似文献
20.
This paper computes the irreducible characters of the alternating Hecke algebras, which are deformations of the group algebras of the alternating groups. More precisely, we compute the values of the irreducible characters of the semisimple alternating Hecke algebras on a set of elements indexed by minimal length conjugacy class representatives and we show that these character values determine the irreducible characters completely. As an application, we determine a splitting field for the alternating Hecke algebras in the semisimple case. 相似文献