共查询到20条相似文献,搜索用时 437 毫秒
1.
本文研究了D4 型量子包络代数的Gelfand-Kirillov 维数的计算问题. 利用文献[1] 中给出的Gelfand-Kirillov 维数的计算方法和文献[2] 中给出的D4 型量子包络代数的Groebner-Shirshov 基计算了D4型量子包络代数的Gelfand-Kirillov 维数, 得到的主要结果是D4 型量子包络代数的Gelfand-Kirillov 维数为28. 希望此结果为计算Dn型量子包络代数的Gelfand-Kirillov 维数提供一些思路. 相似文献
2.
For any integersa
1,a
2,a
3,a
4 andc witha
1
a
2
a
3
a
4≢0(modp), this paper shows that there exists a solutionX=(x
1,x
2,x
3,x
4) ∈Z
4 of the congruencea
1
x
1
2
+a
2
x
2
2
+a
3
x
3
2
+a
4
x
4
2
≡c(modp) such that
Research of Zheng Zhiyong is supported by NNSF Grant of China. He would also like to thank the first author and the Mathematics
Department of Kansas, State University for their hospitality and support. 相似文献
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这是利用 A∞∞ -型 Ringel-Hall 代数研究sl ∞∞ -型量子群的两篇文章中的第一篇. 为此首先需要研究建立在任意域k 上的无限维路代数 kA∞∞ 的有限维表示. 在文章的第一部分, 我们给出了所有的不可分解 kA∞∞ - 表示, 并且清楚地刻画了它们之间的扩张关系; 在第二部分, 对于给定的有限域k, 我们研究了 Ringel-Hall 代数 H(kA∞∞). 主要观察是把H(kA∞∞) 看作 Ringel-Hall 代数 H(kA∞) 的正向极限, 把 H(kA∞) 看作Ringel-Hall 代数 H(kAn) 的正向极限. 特别地, 我们得到了H(kA∞∞) 的一个 PBW-基, 并且 证明了H(kA∞∞) 恰好和它的合成子代数重合. 相似文献
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张利 《数学年刊A辑(中文版)》2023,44(2):121-132
设B是N维复空间CN中的开单位球,φi为B上的解析自映射,Hα∞表示定义在单位球上的加权解析函数空间.本文主要研究的是从空间Hα∞到Hβ∞上的复合算子线性组合■的紧致性,其中λi(i=1,2,…,M)是非零常数.另外,根据紧致性等价条件,得出算子差分对(Cφ1-Cφ2)-(Cφ3-Cφ1)是紧致的当且仅当Cφ1-Cφ2与Cφ3-Cφ1都是紧致的算子. 相似文献
9.
John Rognes 《K-Theory》1993,7(2):175-200
We approximate theK-theory spectrum of the integers using a spectrum level rank filtration. By means of a certain poset spectral sequence, we explicitly compute the first three subquotients of this filtration. Assuming a conjecture about the filtration's rate of convergence, we conclude thatK
4()=0 andK
5() is a copy of (the Borel summand) plus two-torsion of order at most eight. 相似文献
10.
Jesse Burke 《Journal of Pure and Applied Algebra》2018,222(12):4099-4125
Given a graded module over a commutative ring, we define a dg-Lie algebra whose Maurer–Cartan elements are the strictly unital -algebra structures on that module. We use this to generalize Positselski's result that a curvature term on the bar construction compensates for a lack of augmentation, from a field to arbitrary commutative base ring. We also use this to show that the reduced Hochschild cochains control the strictly unital deformation functor. We motivate these results by giving a full development of the deformation theory of a nonunital -algebra. 相似文献
11.
Jeff Edmonds 《Discrete and Computational Geometry》2008,39(4):747-765
We give a new algorithm for enumerating all possible embeddings of a metric space (i.e., the distances between every pair
within a set of n points) into ℝ2 Cartesian space preserving their l
∞ (or l
1) metric distances. Its expected time is
(i.e., within a poly-log of the size of the input) beating the previous
algorithm. In contrast, we prove that detecting l
∞3 embeddings is NP-complete. The problem is also NP-complete within l
12 or l
∞2 with the added constraint that the locations of two of the points are given or alternatively that the two dimensions are
curved into a three-dimensional sphere. We also refute a compaction theorem by giving a metric space that cannot be embedded
in l
∞3; however, it can be embedded if any single point is removed.
This research is partially supported by NSERC grants. I would like to thank Steven Watson for his extensive help on this paper. 相似文献
12.
Grzegorz Lewicki 《Monatshefte für Mathematik》2000,101(1):119-131
In this paper we present an estimate of the relative projection constant for a particular class of subspaces of of codimension two. In some cases the exact value of will be calculated. Also Theorem 2.5 from [11] will be generalized. 相似文献
13.
Meijiao WANG 《数学年刊B辑(英文版)》2016,37(5):643-664
This paper is concerned with stochastic H_2/H_∞ control problem for Poisson jump-diffusion systems with(x, u, v)-dependent noise, which are driven by Brownian motion and Poisson random jumps. A stochastic bounded real lemma(SBRL for short) for Poisson jump-diffusion systems is firstly established, which stands out on its own as a very interesting theoretical problem. Further, sufficient and necessary conditions for the existence of a state feedback H_2/H_∞ control are given based on four coupled matrix Riccati equations. Finally, a discrete approximation algorithm and an example are presented. 相似文献
14.
A decomposition of K_(n(g))∪Γ, the complete n-partite equipartite graph over gn vertices union a graph Γ(called the excess) that is a subgraph of K_(n(g)), into edge disjoint copies of a graph G is called a simple minimum group divisible covering of type g~n with G if Γ contains as few edges as possible. We examine all possible excesses for simple minimum group divisible(K_4-e)-coverings.Necessary and sufficient conditions are established for their existence. 相似文献
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Erd?s and Sós conjectured in 1963 that ifGis a graph of ordernand sizee(G) with, thenGcontains every treeTof sizek. We prove the conjecture in the case whereGdoes not contain the cycleC4. 相似文献
19.
B. P. Damyanov 《Czechoslovak Mathematical Journal》2005,55(1):189-201
Results on singular products of the distributions x
±
-p
and x
-p
for natural p are derived, when the products are balanced so that their sum exists in the distribution space. These results follow the pattern of a known distributional product published by Jan Mikusiski in 1966. The results are obtained in the Colombeau algebra of generalized functions, which is the most relevant algebraic construction for tackling nonlinear problems of Schwartz distributions. 相似文献
20.
The purpose of this paper is to prove that the quadratic variations of smooth Ito process inthe sense of Malliavin-NuaJart can he approximated in Sobolev spaces over the Wiener space by its discrete quadratic variatlons. 相似文献