查询词典 Lie algebra

We showthat End〓is an algebra in 〓,and then we construct a derived Lie algebra〓 in 〓 and prove existenceness of its enveloping algebra under the condi-tion that the"braiding"in the category 〓 is symmetric on 〓.

Radford的双积定理给出了在Yetter-Drinfel'd范畴〓中构造辫子群[48-50]的一种方法。因为，冲积已被发展为交叉积，许多冲积的相应结果被搬到了交叉积上。

Vi.上床,分层 apple-pie bed be brought to bed confined to one's bed die in one's bed feather bed flock bed get up on the wrong side of the bed get out of bed on the wrong side go to bed go to bed in one's boots keep one's bed keep to one's bed leave one's bed lie on the bed one has made lie in the bed one has made lie on a bed of thorns make one's make one's bed bed and lie on it make one's own bed make one's own bed and lie on it make the bed make a bed narrow bed narrow cell narrow house narrow home put to bed put to bed with a shovel stretch on the Procrustean bed

发生性关系；付印喝得大醉早睡早起因病躺在床上因病躺在床上病愈起床自作自受自作自受如坐针毡；坐立不安自作自受自作自受自作自受自作自受整理床铺整理床铺坟墓坟墓坟墓坟墓使睡；将扣紧准备印刷；准备编排直至印刷为止埋葬，下葬；扶送回家上床按照同一标准判断；强求一致 24 As you make your bed， so you must lie on it。

Assume a Lie algebra g has a form B which has all the useful properties of Killingform:bilinearity nondegeneracy,symmetry and invariance.Note that for such a Liealgebra the adjoint representation is equivalent to the coadjoint representation.We callit a symmetric self-dual Lie algebra and the form B an invariant scalar product.

在第一部分的最后一节，我们引进了拟Heisenberg代数的概念，证明了这些李代数均为具有非极大秩的CN李代数，进一步我们还证明了这些CN李代数构成的集合与极大秩幂零李代数构成的集合之间存在着1-1对应关系。

We investigate the centralizer of an arbitrary element of a Lie algebra of type L and obtain a sufficient condition for a Lie algebra of type L being semisimple.

在李代数方面，我们研究了L-型李代数中任一元素的中心化子，给出了L-型代数为半单代数的充分条件。

In section 2 ,if one Lie colour algebra can be decomposed to direct sum of two ideas ,the same as the center.And when the center is zero , the derivation and the inner derivation can be also decomposed .Lie colour algebra L is complete if and only if its two ideas are both complete .

第二部分首先讨论了若李color代数L可以分解为两个理想的直和，则中心也可以分解为两个理想的直和，而且当中心为零时导子和内导子也有同样的理想直和分解，并且L完备的充要条件是两个理想都完备。

Develop the formulation of the the Lie group, Lie algebra and Riemannian manifolds and spatial operator algebra.

建立了Lie群和Lie代数、Riemannian流形与空间算子代数理论联系的模型。

Next, we give the definition of Killing form hold for pointed YD-Lie algebra, let L be a pointed YD-Lie algebra, for every homogeneous elements x, y ∈ L, if = tr_q.then we call Killing form of L.

接着，给出了点YD-李代数的Killing型的定义：L为任意的点YD-李代数，如果齐次元x，y∈L定义：=tr_q。

Chapter 3: Take a further look at the development of the complete Lie algebra which conclude the simple Lie algebra.

第三章：展望一下包括单李代数的完备李代数的发展趋势。

And then the definition of simply complete Lie colour algebra and L self-homomorphism are given .A Lie colour algebra is simply complete if and only if it can not be decomposed .

然后给出了单完备李color代数的定义，并给出了一个李color代数是单完备的充要条件，即是不可分解的，同时引入了L的L自同态的定义。

A Lie group,called N-group,and its Lie algebra,calledN-algebra,are introduced for the structure analysis of the systems.

同时为便于进行系统的结构分析，引入一种称为N-群的李群及其李代数，N-代数。

Vishnu entered a dark fourth dimensional dream that did not support his field or continued life.

毗瑟挐进入了一个第四密度的黑暗梦想，那里并不支持他的能量场或继续生命。

Leaders and decision-making persons use it to collect the data, including the information of unit work, handing in fee, oweing fee, prepaying fee,changing and afterpaying and account transfering of joining-insurance employee, and account paying of all kinds of insurances from hospitalization insurance institutions.The collected data is picked up, organized, switched and showed to user.

该子系统主要面向各级领导、决策分析人员；从各个医疗保险经办机构和定点医疗机构采集数据，包括在各个医疗保险经办机构处理的单位办公信息，单位缴费、欠费、预缴费信息，参保职工变更信息，参保职工增减变动信息，参保职工补缴信息，参保职工帐户划拨信息：包括各定点医疗机构处理的各险种帐户支出信息，各险种的统筹金支付信息等；将采集的数据提取，组织和转换，然后展示给用户。