关于n-Lie代数的几个注记

在Lie代数的研究中 ,半单Lie代数是主要研究对象 ,在n -Lie代数中 ,人们试图将半单n -Lie代数放在同样位置去讨论 ,并希望得到像半单Lie代数那样好的结果 ,将举例说明 ,半单n -Lie代数并不具有半单Lie代数所具有的性质 ,半单Lie代数是单理想直和 ,半单Lie代数的导子是内导子 ,半单Lie代数与其导代数相等     

一类无限维Lie代数的不可约模

研究无限维Lie代数的结构和表示是Lie代数的主要课题,无限维Lie代数的不可约模是具体的一类表示.采用构造法给出了一类无限维Lie代数G的忠实模,同时给出此模为不可约模的一个充要条件,然后用反证法与基元素检验法证明该结果.此结果对研究无限维Lie代数的性质与表示有一定意义.     

实半单Lie代数的Cartan分解的存在性

文章中的第一部分证明复Lie代数有关的几个引理,第二部分证明一个定理,然后给出实半单Lie代数的Cartan分解的定义,最后证明实半单Lie代数的Caftan分解的存在性。     

H型群上次Laplace算子相邻特征值之差的估计

目的研究H型群G上次Laplace算子的D irichlet特征值问题。方法建立H型群G上向量场的性质,结合欧氏空间的经典方法。结果给出了H型群G上次Laplace算子D irichlet特征值问题相邻特征值之差的估计,此结果与区域的几何和G的Lie代数的第二层的维数无关。结论把欧氏空间上的结论推广到了H型群上,并在H型群情形下有所深化。     

一类无限维Cartan型Lie代数的Witt子代数与模

主要讨论了与Witt代数相关的一类无限维Cartan型Lie代数G的结构,同时通过构造法给出它的一类Witt子代数与一类模。     

有限维Lie代数Killing型算法及其在偏微分方程对称性质判定中的应用

给出有限维Lie代数Killing型的计算方法和机械化实现,本算法适合于任意有限维Lie代数,适用于非线性偏微分方程对称性的判断和应用.以此算法为基础,给出了1+2维标准双曲和抛物方程拥有Lie代数性质的判定,得到该两个经典方程的Lie代数结构及相关性质.给出了1+2维抛物方程Lie代数的优化系统,为从代数角度研究偏微分方程问题提供了可借鉴的结果.     

具正规化子条件的Lie代数

给出具正规化子条件的Lie代数及Lie代数的次理想两个概念,讨论了它们的一些性质及其相互关系,证明了特征数零域F上有限维Lie代数为具正规化子条件的Lie代数当且仅当它是幂零的。     

n-Lie代数的弱模与不变双线性型

定义了n-Lie代数的弱模及不变双线性型(定义1及定义2),讨论了n-Lie代数的模与Lie代数的模之间的关系,并且验证了n-Lie代数的模的对偶空间及张量积是n-Lie弱模,同时还并证明了n-Lie代数的不可约表示容许唯一的不变双线性型的条件(定理5及定理7).     

Malcev代数的次理想

举例说明了非Lie的Malcev代数的次理想与理想是2个不同的概念.给出了Malcev代数的次理想的一些基本性质,证明了半单的Malcev代数的次理想均为理想;Malcev代数的幂等次理想均为理想;幂零的Malcev代数的子代数均为次理想;当Malcev代数的所有子代数均为次理想时,此Malcev代数是可解的.     

一类链条件Lie代数的结构

有限维完备Lie代数的结构(分解唯一性)及链条件Lie代数的结构是很清楚的。本文将这些定理及所用方法推广到中心是零的链条件Lie代数(维数不一定有限)的情形,使这一类Lie代数的结构更加完美。     

特征2李代数G_2变形的导子代数

作者利用特征 2代数闭域上G2 的变形V3G ,V6 G和V7G的阶化给出它们的导子代数和极小p-包络 ,分别给出了它们的一个最小生成元集。     

有限维半鞅序列的U.T.性及随机积分序列的弱收敛

本文讨论了关于有限维半鞅序列的随机积分序列的弱收敛性和与此半鞅序列相对应的二次变差过程及张量二次变差过程的弱收敛性,推广和修改了Jakubowski A,Memin J,Pages G,[1] DarrellD,Philip P[2] 中相应的结果。     

Efficient statistical analysis method of power/ground(P/G) network

In this paper, we propose an incremental statistical analysis method with complexity reduction as a pre-process for on-chip power/ground (P/G) networks. The new method exploits locality of P/G network analyses and aims at P/G networks with a large number of strongly connected subcircuits(called strong connects) such as trees and chains. The method consists of three steps. First it compresses P/G circuits by removing strong connects. As a result, current variations (CV) of nodes in strong connects are transferred to some remaining nodes. Then based on the locality of power grid voltage responses to its current inputs, it efficiently calculates the correlative resistor (CR) matrix in a local way to directly compute the voltage variations by using small parts of the remaining circuit. Last it statistically recovers voltage variations of the suppressed nodes inside strong connects. This new method for statistically compressing and expanding strong connects in terms of current or voltage variations in a closed form is very efficient owning to its property of incremental analysis. Experimental results demonstrate that the method can efficiently compute low-bounds of voltage variations for P/G networks and it has two or three orders of magnitudes speedup over the traditional Monte-Carlo-based simulation method, with only 2.0% accuracy loss.     

Efficient statistical analysis method of power/ground （P/G） network

In this paper, we propose an incremental statistical analysis method with complexity reduction as a pre-process for on-chip power/ ground （P/G） networks. The new method exploits locality of P/G network analyses and aims at P/G networks with a large number of strongly connected subcircuits （called strong connects） such as trees and chains. The method consists of three steps. First it compresses P/ G circuits by removing strong connects. As a result, current variations （CVs） of nodes in strong connects are transferred to some remaining nodes. Then based on the locality of power grid voltage responses to its current inputs, it efficiently calculates the correlative resistor （CR） matrix in a local way to directly compute the voltage variations by using small parts of the remaining circuit. Last it statistically recovers voltage variations of the suppressed nodes inside strong connects. This new method for statistically compressing and expanding strong connects in terms of current or voltage variations in a closed form is very efficient owning to its property of incremental analysis. Experimental results demonstrate that the method can efficiently compute low-bounds of voltage variations for P/G networks and it has two or three orders of magnitudes speedup over the traditional Monte-Carlo-based simulation method, with only 2.0% accuracy loss.     

Genetic variations of glycinin subunit genes among cultivated and wild type soybean species

Glycinin is a predominant storage protein in most soybean accessions. It is a hexamer constituted by five major subunits, which can be classified into two groups. Group I contains G1, G2 and G3, and Group II contains G4 and GS. The genes encoding these subunits have been designated from Gyl to Gy5, respectively. In the present study, Gyl genomic fragments were cloned from wild accessions of subgenera Glycine glycine, Glycine soja and a cultivar of Glycine max. Their sequences and the deduced amino acid sequences were compared. The residues critical for assembling of G1 subunits from the wild perennial accession were conservative. The Gy4 fragments were cloned from two wild perennial accessions and compared with that from subgenus Soja. The intron 3 of Gy4 had abundant variations between the subgenera G. soja and G. glycine as well as within the subgenus G. glycine. Abundant variations existed in the disordered regions 3 and 4 of G4 subunits from two wild perennial accessions. The genomic organization of glycinin genes was analyzed in 19 accessions from subgenera Soja and Glycine. The hybridization patterns were identical among the accessions of subgenus Soja. On the contrary, abundant polymorphisms existed between the accessions from subgenus Glycine. These results indicated that glycinin genes have high degree of conservation within subgenus Soja but more variations within subgenus Glycine.     

无符号拉普拉斯矩阵的谱整变化

设G是一个简单图,Q（ G）是它的无符号拉普拉斯矩阵。本文讨论了简单图G在添加一条边时其无符号拉普拉斯矩阵Q（G）的谱在两处发生整数变化的条件。     

齐性Siegel域的自同构群

令Ｄ表示有界齐性Ｓｉｅｇｅｌ域，Ｇ（Ｄ）是Ｄ的自同构群，ｇ（Ｄ）是关于Ｇ（Ｄ）的李代数，则对ｇ（Ｄ），Ｓ．Ｍｕｒａｋａｍｉ得到下列直和：ｇ（Ｄ）＝ｇ－１＋ｇ－１／２十ｇ０十ｇ１／２＋ｇ１其中ｇ－１，ｇ－１／２和ｇ０是大家熟知的，本文我们给出ｇ１／２和ｇ１的构造．即在非常弱的条件下，我们证明了ｇ１／２＝｛０｝和ｇ１＝｛∑Ｐ２０Ｋ｝．同时，我们给出一些Ｓｉｅｇｅｌ域的例子，它们的自同构群可以显式给出．     

Genetic variations of glycinin subunit genes among cultivated and wild type soybean species

Glycinin is a predominant storage protein in most soybean accessions. It is a hexamer constituted by five major subunits, which can be classified into two groups. Group I contains G1, G2 and G3, and Group II contains G4 and G5. The genes encoding these subunits have been designated from Gy1 to Gy5 , respectively. In the present study, Gy1 genomic fragments were cloned from wild accessions of subgenera Glycine glycine, Glycine soja and a cultivar of Glycine max . Their sequences and the deduced amino acid sequences were compared. The residues critical for assembling of G1 subunits from the wild perennial accession were conservative. The Gy4 fragments were cloned from two wild perennial accessions and compared with that from subgenus Soja . The intron 3 of Gy4 had abundant variations between the subgenera G. soja and G. glycine as well as within the subgenus G. glycine. Abundant variations existed in the disordered regions 3 and 4 of G4 subunits from two wild perennial accessions. The genomic organization of glycinin genes was analyzed in 19 accessions from subgenera Soja and Glycine . The hybridization patterns were identical among the accessions of subgenus Soja. On the contrary, abundant polymorphisms existed between the accessions from subgenus Glycine . These results indicated that glycinin genes have high degree of conservation within subgenus Soja but more variations within subgenus Glycine .     

济阳坳陷岩性油气藏地震采集技术

济阳坳陷岩性油气藏存在砂体内部及层间地震反射弱，资料分辨率低的问题。通过较小炮检距、较小面元、较宽方位角、较大非纵距和较高的纵、横向覆盖次数等面元属性的优化组合，提高了该区地震资料的分辨率;建立了表层条件“特征网”，通过寻找表层变化“突变带”，可为最佳激发因素的选取提供可靠依据;总结了频谱分析的有效方法，提出要以砂体解释的需要为目标，避免陷入盲目追求高频率的误区。以上技术与方法在济阳坳陷官7地区岩性油气藏地震采集中取得了明显效果，显著地提高了资料的分辨率，解决了小砂体及内部的弱反射问题。     

凹壁不稳定性流动的数值计算

凹壁结构在工业应用的多个领域中都是很常见的,由于离心力不稳定性,流体流过凹壁面附近时可能会产生G?rtler涡。为了研究这些涡的特性及对流场产生的影响,采用CFD技术对曲率半径为2 m的弯曲渠道的流动过程进行数值模拟。用有限体积法对模型进行空间离散,采用大涡模拟中Smagorinsky-Lilly模型进行计算。通过与实验结果进行对比发现,计算结果能较准确的反应G?rtler涡随流动的发展过程。在此基础上进行的分析表明:在速度3 m/s,湍流度0.35%的进口条件下,沿流向流过一段距离后,在靠近凹壁的边界层中产生了G?rtler涡;涡轴平行于流动方向并且相邻涡轴之间的距离保持不变;随着涡在展向和法向空间的增长,速度等值线出现"蘑菇状"结构;靠近出口位置"蘑菇状"结构破裂,流动发生转捩。