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1)  Clifford groups
Clifford矩阵群
2)  Clifford matrix
Clifford矩阵
1.
<abstract> The change from vertical coordinate form of Mobiustransformation into Clifford matrix form is realized by threelemmas in this paper.
本文通过三个引理实现了由Mobius变换的直角坐标形式到Clifford矩阵形式的转化。
2.
In this papcr, applying the clifford matrix representation of Mobius transformations inRn, we prove that a non-elementary purely hyperbolic group is discret
应用Clifford矩阵表示证明了如下定理:在一般高维情形,非初等纯双曲群是离散的。
3)  unitary Clifford matrix
酉Clifford矩阵
1.
A supplement to the unitary Clifford matrix;
对酉Clifford矩阵的补充说明(英文)
4)  Clifford group
Clifford群
1.
After a short precis of the main facts about Universal Clifford Algebras (UCA), the Clifford group of UCA is introduced from the inner automorphism point of view, with it s general form given.
以一般Clifford代数内自同构观点引出了Clifford群的定义,并论证了其普遍形式;检讨了厄米共轭的Clifford代数表述形式及关于座标变换的两种观点,作为下一步研究广义Dirac方程代数的特性的基础。
5)  matrix semigroup
矩阵半群
1.
Introducing the concept of Rees matrix semigroups of matrix type,we prove the equivalence of completely simple matrix semigroups and this kind of Rees matrix semigroups, and characterize the minimal ideal of a topological matrix semigroup as well as the completely regular matrix semigroups.
引入矩阵型Rees矩阵半群的概念,证明完全单的矩阵半群等价于矩阵型Rees矩阵半群,进而给出矩阵拓扑半群的极小理想的刻画以及完全正则矩阵半群特别是一些重要类别的群带的刻画。
2.
Let F denote any field, Mn(x) denote n × n matrix semigroup over F [x] the polynomial ring, we call φ is a multiplicative function from Mn(x) to F [x], if φ (A(x)B(x)) = φ(A(x))<p(B(x)) for any A(x) and B(x) in Mn(x).
设F是任意域,M_n(x)表示多项式环F〔x〕上n×n矩阵半群。
3.
For a regular matrix semigroup S over the complex field,it is shown that the following conditions are equivalent:(1)S is(0-)simple;(2)S is(0-)mono-ranked;(3)S is completely(0-)simple.
对于复数域上正则的矩阵半群S,证明如下各条是等价的:(1)S是(0-)单的;(2)S是(0-)单秩的;(3)S是完全(0-)单的。
6)  matrix semigroups
矩阵半群
1.
Result of matrix semigroups M_2(R) over Z/p~kZ;
研究了有限局部环R上矩阵半群M2(R)到自身的同态φ;得到了在满足φ(02)=02和φ(I2)=I2时,在SL2(R)Kerφ成立的条件下,矩阵乘法半群M2(R)的同态φ的具体形式。
补充资料:矩阵群


矩阵群
matrix group

矩阵群【叹.州笼乎翻甲;M娜~印押.al 元素取自带单位元的结合环(见结合环与代数(四拟加石记朋邵出ldal罗bras))的(nxn)维矩阵(万坦七认)构成的群(脚叩),其运算为通常的矩阵乘法.见线性群(1劝目汀匆旧uP)、王杰译石生明校
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