排序方式: 共有22条查询结果,搜索用时 46 毫秒
1.
OBUL Abdukadir College of Mathematics System Sciences Xinjiang University Urumqi China PANG YaLi 《中国科学A辑(英文版)》2008,(6)
By using Frobenius maps and F-stable representations,we count the number of isomor- phism classes of indecomposable representations with the fixed dimension vector of a species of type _n over a finite field,first,and then,as an application,give a q-analogue of the Weyl-Kac denominator identity of type _n. 相似文献
2.
In this paper, by using the Frobenius morphism and the multiplication formulas of the generic extension monoid algebra, the authors first give a presentation of the degenerate Ringel-Hall algebra, and then construct the Gröbner-Shirshov basis for degenerate Ringel-Hall algebras of type F 4. 相似文献
3.
Structural modification on rupestonic acid leads to highly potent inhibitors against influenza virus
Obul Mamateli Wang Xincheng Zhao Jiangyu Li Gen Aisa Haji Akber Huang Guozheng 《Molecular diversity》2019,23(1):1-9
Molecular Diversity - Influenza viruses are responsible for seasonal epidemics and occasional pandemics, which cause significant morbidity and mortality. Although several drugs (adamantanes and... 相似文献
4.
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
5.
Abdukadir Obul 《Journal of Pure and Applied Algebra》2007,208(2):445-448
It is known from [M. Auslander, M.I. Platzeck, I. Reiten, Coxeter functors without diagrams, Trans. Amer. Math. Soc. 250 (1979) 1-46] and [C.M. Ringel, PBW-basis of quantum groups, J. Reine Angew. Math. 470 (1996) 51-85] that the Bernstein-Gelfand-Ponomarev reflection functors are special cases of tilting functors and these reflection functors induce isomorphisms between certain subalgebras of Ringel-Hall algebras. In [A. Wufu, Tilting functors and Ringel-Hall algebras, Comm. Algebra 33 (1) (2005) 343-348] the result from [C.M. Ringel, PBW-basis of quantum groups, J. Reine Angew. Math. 470 (1996) 51-85] is generalized to the tilting module case by giving an isomorphism between two Ringel-Hall subalgebras. In [J. Miyashita, Tilting Modules of Finite Projective Dimension, Math. Z. 193 (1986) 113-146] Miyashita generalized the tilting theory by introducing the tilting modules of finite projective dimension. In this paper the result in [A. Wufu, Tilting functors and Ringel-Hall algebras, Comm. Algebra 33 (1) (2005) 343-348] is generalized to the tilting modules of finite projective dimension. 相似文献
6.
硼/氮掺杂富勒烯C20芳香性的争论 总被引:2,自引:1,他引:1
用拓扑共振能(TRE)和百分拓扑共振能(%TRE)方法对硼和氮掺杂富勒烯C20的芳香性进行了研究, 并与核独立化学位移(NICS)方法的结果进行了比较. 研究结果表明, 在C20-2nX2n(X=B, N; n=1,2,3,4)中只有C16N4, C14N6和C12N8具有芳香性, 而其它化合物都具有反芳香性. 这与NICS方法的预测结果不一致. 对NICS判据和TRE方法对C20和C20-2nX2n(B, N; n=1,2,3,4)的芳香性进行判断时所得出的不一致结果及其原因进行了讨论, 认为用NICS判据和2(n+1)2规则对这些化合物芳香性的预测是不可靠的. 相似文献
7.
The authors take all isomorphism classes of indecomposable representations as new generators, and obtain all skew-commutators between these generators by using the Ringel-Hall algebra method. Then they prove that the set of these skew-commutators is a Gröbner-Shirshov basis for quantum group of type \(\mathbb{D}_4\). 相似文献
8.
We give a Grobner-Shirshov basis of quantum group of type F4 by using the Ringel-Hall algebra approach. We compute all skew-commutator relations between the isoclasses of indecomposable representations of Ringel- Hall algebras of type F4 by using an 'inductive' method. Precisely, we do not use the traditional way of computing the skew-commutative relations, that is first compute all Hall polynomials then compute the corresponding skew- commutator relations; instead, we compute the 'easier' skew-commutator relations which correspond to those exact sequences with middle term indecomposable or the split exact sequences first, then 'deduce' others from these 'easier' ones and this in turn gives Hall polynomials as a byproduct. Then using the composition-diamond lemma prove that the set of these relations constitute a minimal CrSbner-Shirshov basis of the positive part of the quantum group of type F4. Dually, we get a Grobner-Shirshov basis of the negative part of the quantum group of type F4. And finally, we give a Gr6bner-Shirshov basis for the whole quantum group of type F4. 相似文献
9.
火焰原子吸收光度法测定维药芜菁的微量元素 总被引:1,自引:0,他引:1
为探讨微量元素与芜菁的药效关系,用火焰原子吸收分光光度法测定了维药芜菁中的K,Na,Ca,Fe,Cu,Co,Zn,Mn,Mg等9种元素含量。结果表明,芜菁含有丰富的人体必需微量元素,其中K,Na,Ca,Zn的含量更显著;方法的回收率在93.7%~102.5%之间,RSD值在0.39%-1.3%之间,能用于维药芜菁中多种微量元素的同时测定。为芜菁的进一步研究和综合开发利用提供了新的科学依据。 相似文献
10.
In this paper, by using the Frobenius morphism and the
multiplication formulas of the generic extension monoid algebra, the
authors first give a presentation of the degenerate Ringel-Hall
algebra, and then construct the Gr\"{o}bner-Shirshov basis for
degenerate Ringel-Hall algebras of type $F_4.$ 相似文献