查询词典 Jordan algebra

It takes advantages of AR-quiver analysis and APR- tilting translation. We proved: if T_A is a tilting A-module over a path algebra of type A_n or a characteristic tilting A-module over a path algebra of type D_n,E_6,E_7, E_8,then there are points corresponding indecomposable direct summands of T_A in theτ- orbit of each edge.

通过对Dynkin型路代数的AR-箭图分析及利用APR-倾斜变换，证明了A_n型路代数倾斜模及D_n，E_6，E_7，E_8型路代数本性倾斜模T_A的一个必要条件是，在A的AR-箭图Γ_A的边缘的r-轨道都有T_A的不可分解直和项对应的点。

Nest algebra is an important class of non-selfadjoint reflexive operator algebras, which is the natural generalization of upper triangular matrix algebra in infinite dimensional space.

中文摘要：套代数是一类重要的非自伴、自反算子代数，它是上三角矩阵代数在无穷维空间上的自然推广。

It is proved that an R-algebra isomorphism between two integral table algebras must be an integral table algebra isomorphism if it is compatible with the so-called normalizings of the integral table algebras.

我们证明了两个整表代数之间的一个R-代数同构必是一个整表代数同构只要它与一种标准化变换相容。

Uncertain temporal relations can be represented and reasoned by IA. IA has strong expressive ability in tense, and it can represent all natural temporal relations. At the same time, temporal relation represented by IA is highly visual and comprehensive. In additional, IA has been extended from one-dimension temporal area to two-dimension spatial area, that is to say, interval algebra can be developed to rectangle algebra for two-dimension reasoning.

用区间代数能表示不确定的时态关系，可以很方便地用于时态推理，表达能力强；时态关系的区间表示比较直观，可理解性强；同时区间代数可以进一步扩展到二维空间领域，即将区间代数拓展为矩阵代数，实现二维空间推理。

Author uses the result of the periodicity theorem of complex Clifford algebra to obtain the irreducible representation of the odd\|degree complex Clifford algebra.

然而 ，周期性同构现象是复 Clifford代数中的一个重要特性，利用有关复 Clifford代数周期性定理的结果，本文作者得到了奇数次复 Clifford代数的不可约表

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。

The Lie algebra 〓 in[14]is replaced by the twisted algebra〓.

在[14]中用到的李代数〓将由扭李代数〓来代替。

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。

He studied their excrement for evidence of livestock hair.

他为家畜毛的证据研究他们的粪便。

Loneliness is not grounds for deportation, deportation of the people are not all lonely people.

寂寞也不是放逐的理由，放逐的人也并不都是孤独的人。