查询词典 lie-down

In this paper we introduce some new definitions, they are the generalizations of those concepts in Lie theory, and we discuss initially the elementary properties of operator Lie algebras. Finally, the famous Jordan-Holder theorem and the uniqueness of decomposition theorem of operator Lie algebras are proved.

在这篇文章里，我们将李代数理论中的诸多概念加以推广，并初步地探讨了算子李代数的性质，最后还给出了算子李代数的一个分解定理，其唯一性也得到了证明。

In the primary school department and junior high school department of, is "lie tiger square", in have a flower to have the grass contain tree, particularly flower, grow very beautiful, the color is also very fresh and gorgeous, there is the red, Huang of, white of, blue of, purple of ……the right in"lie tiger square", around the pond of hemicycle, in have fountain, the whole"lie tiger square" looks very tranquil and enjoyable.

在小学部与初中部之间，是"卧虎广场"，里面有花有草有树木，尤其是花儿，长得非常美丽，颜色也很鲜艳，有红的，黄的，白的，蓝的，紫的……在"卧虎广场"的右方，围绕着半圆形的水池，里面有喷泉，整个"卧虎广场"看起来很幽雅。

The quantum deformation of a Lie algebra is obtained by adding one parameter q,which is reduced to the original Lie algebra when taking the limit q→1;some properties of the original Lie algebra remain.

在Hopf代数或量子群理论中，构造李双代数的量子化是产生新的量子群的一个十分重要方法，研究李双代数的重要目的之一就是对其量子化。

In this paper, we mainly study representations of strong semisimple n-Lie algebras, prove that a representation of a strong semisimple n-Lie algebra is a representation of the reductive Lie algebra LP, and the relative properties.

本文主要研究了强半单的n-李代数的表示，证明了强半单的n-李代数的表示可转化为一个约化李代数Lρ的表示，并证明了不变线性形等其它相关性质。

This result is a generalization of the Chevalley basis in case a simply-laced complex simple Lie algebra. Meanwhile, it generalizes also the corresponding Chevalley forms in case affine Lie algebras and 2- extended affine Lie algebras.

该结果是simply-laced复半单李代数情形下Chevalley基的推广，同时也是仿射李代数和2-扩大仿射李代数的相应Chevalley结构形式的推广。

After giving the concept and some elementary properties of subideals of Lie triple system,the author shows that every subalgebra of a nilpotent Lie triple systems is a subideal and a Lie triple system is solvable if every subalgebra is a subideal.

证明了幂零李三系的子系数都是次理想；当李三系的所有子系数都是次理想时，该李三系是可解的。

Lie group method ; Lie theory ; Matrix exponentiaE Symmetric space ; Lie triple system

非线性度李群方法；李理论；矩阵指数；对称空间；李三系

Firstly the Lie group description and method of seismic wave propagation in phase space is proposed, which is, in other words, symplectic group description and method for seismic wave propagation, since symplectic group is a Lie subgroup and symplectic method is a special Lie group method.

文中首先给出相空间中地震波的李群表述和算法，也即地震波的辛群表述和辛算法，辛群是李群的子群，辛算法是特殊的李群算法。

In the fifth chapter,we study dipolarizations in some quadratic Lie algebras.Inthe first section,we obtain some results on the classification of dipolarizations in gen-eral quadratic Lie algebras,and prove that there exist dipolarizations in the solvablequadratic Lie algebras whose Cartan subalgebras consist of semisimple elements.

第五章讨论了某些二次李代数的双极化，在第一节中，我们给出了二次李代数的双极化的一些分类结果；特别证明Cartan子代数是由半单元组成的二次李代数上存在双极化，第二节确定了四维扩张Heisenberg代数的所有双极化，在第三节中，我们构造了2n+2维扩张Heisenberg代数的六类双极化，我们发现两个不同于半单李代数情形的有趣事实：（1）在扩张Heisenberg代数上同时存在对称和非对称双极化；（2）对应于扩张Heisenberg代数的双极化的特征元有的是半单的有的是幂零的。

Whispering Steppe Love is dear, love is rare Love is never where your eyes would stare Unexpectedly, even blindingly Love will show its face to you, no lie Fears 3subside, clearly why Time has come for me to stand aside 4Unencumberedly, though 5reluctantly Upon the 6whispering 7steppes I lie with pride It was the 8cradle of my hopes now lies my resting grave The warmth of life has left me half-embraced For those who 9rendered fears and pain I will surely pay with a smile you can't escape Free at last, from the past Time has come for me to greet the vast Unencumberedly, though reluctantly Upon the whispering steppes I lie

细语吟咽的草原爱之珍，爱之罕爱令双目不可逼视就那么出人意料，甚至茫然无绪地爱呈现出至真性情，没有谎言湮灭了惧栗，也明白了时空于我就这样静止的缘由无所畏惧，却又犹豫迟疑地我走上这为之骄傲的细语吟咽的草原这里，过去是我希望的摇篮，如今是我安息之地对那些在幸福生活中抛弃过我的令我忧虑痛苦的人而今我要报以一个你们怎也躲不掉的笑容自由了，终于脱离过去的阴影自由了广阔天地在我面前展现无所畏惧，却又犹豫迟疑地我走上这为之骄傲的细语吟咽的草原注释： 1 The room is turning slowly away from the moon。

" I' d like to get some rough idea about music in the baroque ear, please."

请简要介绍一下巴罗克时期的音乐，好吗？

The results showed that the peak latency and pattern of SEPs elicited by electrical needling in LI-l1 and MP were similar. The amplitude of SEPs elicited by electrical needling in LI-l1 was higher than that of MP. There was no obvious SEPs generation when MM was electrical needling.

结果显示，电针刺激曲池穴和其邻近桡侧伸腕长肌运动点诱发性脑电波的波形和波峰时间是类似的，只是穴位的诱发性脑电波波幅较大，而电针刺激非穴位点并没有明显的诱发性脑电位。