量子群

Ore扩张在量子群中的应用

Applications of ore extension to quantum groups

由箭图构造的对偶Hopf代数和量子群

Dual Hopf Algebras from a Quiver and Dual Quiver Quantum Groups

An型量子群的基本模的典范基

Canonical Basis for Fundamental Modules of Quantized Enveloping Algebras of Type A_n

IR量子群νq（sl（2））的不可约表示（英文）

Irreducible representations of quantum group ν _q ( sl ( 2 ))

本文确定n≤5时An型量子群的基本模V（λ）（即λ是基本支配权）的典范基。

Canonical basis for fundamental modules of quantum group of type A_n when n ≤ 5 are determined in this paper .

q为偶数次本原单位根时量子群Uq（m，n）的区块结构

Block Structure of U_q ( m , n ) When q is a Primitive Root of Unity of Even Numbers

量子群SU（2）q和SU（1,1）q的一类新的表示

A New Kind of Realizations of the Quantum Groups SU ( 1,1 ) _q and SU ( 2 ) _q

双参数量子群GL（p，q）（2）及其上量子deRham复形

Two-parameter quantum group gl_ ( p , q )( 2 ) and its quantum de Rham complex

双参数变形光子相位算符与双参数变形量子群SU（1,1）（q，s）相干态

TWO-PARAMETER DEFORMED photon phase operators and TWO-PARAMETER DEFORMED quantum group su ( 1,1 ) _ ( q , s ) coherent states

量子群U（qp）（u2）模型对A～190区超形变带研究

Study for Superdeformed Bands in A ~ 190 Region with Quantum Group U_ ( qp )( u_2 ) Model

本文主要研究的是相应于E型李代数的双参数量子群和相应于D型李代数的限制的双参数量子群。

We investigate two-parameter quantum groups corresponding to Lie algebras of type E-series and restricted two-parameter quantum groups corresponding to Lie algebras of type D in this paper .

本文引进满足一定关系的六个元素生成的量子群νq（sl（2））。

In this paper , we introduce a quantum group ν q ( sl ( 2 )) with six generators and some relations .

量子化包络代数及其有限维商小量子群是一类非常重要的PointedHopf代数。

The quantized enveloping algebras and their finite dimensional quotients , i.e. , small quantum groups , are a class of pointed Hopf algebras which are very important and typical .

量子群起源于量子逆散射方法，特别是量子Yang-Baxter方程的研究。

Quantum groups arose from the study of quantum inverse scattering method , especially the Yang Baxter equation .

我们同时也找到了SU（2）lWZW模型的交叉矩阵与SL（2，q）量子群的辫子矩阵（即量子拉卡系数）的明显关系。

We find also the explicit connection between the crossing matrix of SU ( 2 ) _r WZW model and the braid matrix of SL ( 2 , q ) quantum group , the latter is just the quantum Racah coefficient .

我们还研究了无穷小量子群的小Weyl模，而且我们将在本文中给出无穷小q-Schur代数的不可约模的分类。

And , we shall study the little Weyl module fot the little quantum group . We shall give the complete set of the irreducible module for the little g-Schur algebra .

他们的研究显示出在A型李代数的双参数量子群与Down-up代数之间存在着某些密切的联系。

Their research showed that there exist some close connections between two-parameter quantum groups of type A and down-up algebras .

Heisenberg-Virasoro代数的q-形变的量子群结构

Quantum group structure of the q-Heisenberg-Virasoro algebra

利用具有量子群对称性的q变形量子谐振子Fock态│n>q生成q变形量子谐振子的Glauber相干态（q-Glauber相干态│a>q）。

By making use of the Fock States of the q-deformed quantum oscillator which possesses the symmetry of quantum group , we construct the Glauber coherent state of the q-deformed quantum oscillator ( the q-Glauber coherent state ㄧα > q ) .

文章给出当q是单位根时，量子群Uq（sl2）的限制表示的例。并用箭图画出它的构造。

The paper gives an instance of restricted representation for quantum groups U_q ( sl_2 ) when q is the root of unity , and draws its construction with the quiver .

此外，还明显构造了量子群SUq（2）生成元的一类更为普遍的实现。

Furthermore , a more general real-ization of the generators of the quantum group SUq ( 2 ) is explicitly constructed .

由于Hopf代数在量子群理论和相关的数学物理领域的重要地位，随着研究的深入，一些弱化的Hopf代数概念的意义越来越得到深入的理解和进一步的重视。

Because of the important role of Hopf algebra in the theory of quantum group and related mathematical physics , along with the deepening of researches , the meaning of some weaker concepts of Hopf algebra is understood and is paid close attention more and more .

1990年，Ringel引入了Ringel-Hall代数，这类代数提供了用表示论来研究李代数和量子群的新途径。

Ringel introduce a new algebra which is called Ringel-Hall algebra in 1990 . These algebras provide a new approach into the studying for Lie algebra and quantum group .

本文通过构造双参数量子群SUqs（1，1）生成元的qs－Boson实现，给出了SUqs（1，1）的正离散序列表示。

The qs-Boson realization of the generators of the two-parameter deformed quantum algebra SUqs ( 1,1 ) is constructed and the representation for the positive discrete series is given .

本文利用量子群uq（sl（2））的表示及其理想的生成子，证明了uq（sl（2））的任一非零理想在某种意义下可唯一分解为若干个素理想的乘积。

Using the representations and generators of the ideals of quantum group uq ( sl ( 2 )), the authors prove that every non-zero ideal of Uq ( sl ( 2 )) can be uniquely in a sense written as a product of some prime ideals .

量子群是近年来一个比较热门的课题。

Quantum group has been a hot topic in recent years .

椭圆量子群极小表示的系数代数

Coefficient Algebra of the Minimal Representation of the Elliptic Quantum Group

量子群有限维表示的好滤过和循环模

Good Filtration of Finite Dimensional Representations and Cyclic module for Quantum Groups

利用泊松作用又解决了量子群的某些问题。

Using Poisson action , sonic problems about quantum groups are solved .

A4型量子群中紧单项式的区域

Regions of Tight Monomials in Quantum Group of Type A_4