李代数

In the recent years, due to there being intrinsic relationships between tilting theory and quantum group, Lie algebra and other algebraic branch, tilting theory has been one of the international hot topics.

现在，由于倾斜理论与量子群，李代数等其它代数学科的本质联系，倾斜理论成为国际研究热点之一。1998年，I。

The Schur_Weyl_Brauer duality relation between A,B,C, and D type of Liealgebras and their centralizer algebras, and its quantum version is emphasized.

特别强调了关于A，B，C，D型李代数及其量子情形与其中心代数之间的舒尔魏尔布劳双关性关系。

The relation allows us to evaluate coupling and re_coupling coefficients of the corresponding quantum and classical Lie algebras from the induction and subduction coefficients of their centralizer algebras.

这一关系使我们能够利用相应中心代数的诱导及分导系数计算出经典李代数及其量子情形的耦合与重新耦合系数。

Let n ≥ 4 be a fixed integer, R be a unital commutative ring of characteristic not 2, and D_n be a D_n-type classical Lie algebra over R.

假设n是一个大于等于4的整数，R是特征非2的有单位元的交换环，D_n是环R上的D_n型李代数，N是D_n的一个极大幂零子代数。

In the final chapter, we apply the tubular mutations of the derived category of a derived tubular algebra to Lie algebra.

第五章我们讨论标准代数导出范畴自等价—tubular mutation在李代数中的应用。

Quantum mechanical control; symmetry; Lie algebra; universal enveloping algebra; representation theory

清华大学；吴热冰量子力学控制；对称性；李代数；泛包络代数；表示理论

In [3], Professor Wang Xian-dong discussed the evaluation modules of Loop algebras of Lie algebras with a triangular decomposition; particularly, irreducibility of the tensor product of finitely many such modules was partially determined.

在[3]中，王宪栋教授讨论了可三角分解李代数其Loop代数的赋值模；特别值得一提的是，在一定程度上确定了有限多个赋值模其张量积的不可约性。

Using the index arrays to discuss the operation of necklace word .construct a sovable subalgebra of NQ,which is not nilpotent.

当箭图中有长度大于1的循环，且无圈时，构造了N_Q的非可解子代数，从而证明了N_Q是不可解李代数。

In recent years,representation theory of finite-dimensional algebras has intersected and permeated through Lie algebras,which is one of the important features.

与李代数的交叉与渗透是近年来有限维代数表示理论发展的重要特点之一。

If A is D-simple, i. e., A doesn't have any nontrival D-stable ideal, we have the generalized Weyl type simple algebra A .

Der为A上所有F-结合导子组成的李代数。D为Der的任一非零交换李子代数。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。