# symplectic group中文

## 例句與用法

1. In this paper , one type of maximal subgroups in symplectic groups over polynomial rings , one type of maximal subgroups in symplectic groups over local rings , are obtained . in this paper , we also determine all the overgroups of sp ( 2m , r ) in gl ( 2m , r ) for r a local ring
本文主要研究了多項式環上辛群的一類子群的極大性，局部環上辛群的一類子群的極大性和局部環上辛群在線性群中的擴群
2. In chapter 2 , one type of maximal subgroups in symplectic groups over local rings are obtained . let r be a local ring and char r 2 , mbea positive integer , s be the unique maximal ideal of r , we define . then g ( s ) is a maximal subgroups of sp ( 2m , r )
在第二章中，得到了局部環上辛群的一類極大子群：設r是一個特征不為2的局部環， m是個正整數， s是r的唯一極大理想，則g ( s )是sp ( 2m ， r )的一個極大子群。
3. This paper is to study harmonic maps into symplectic groups and local isometric immersions into space forms by means of the soliton theory . by realizing an action of the rational loop group on the spaces of corrsponding solutions , we get the backlund transformation and the darboux transformation , and thereby we give the explicit construction for harmonic maps into symplectic groups and local isometric immersions into space forms via purely algebraic algorithm
主要用孤立子理論研究到辛群的調和映射和到空間形式的局部等距浸入，通過有理loop群在其解空間上的dressing作用，給出b icklund變換和darboux變換的顯式表示，從而獲得到辛群及其對稱空間的調和映射和到空間形式的局部等距浸入的純代數構造方法。
4. In chapter 1 , one type of maximal subgroups in symplectic groups over polynomial rings are obtained . let f be a field , r = f [ x ] be a ring of polynomial in one variable over f , m be a positive integer , f ef and s be the ideal of r generated by - f , we define : , then g ( s ) is a maximal subgroups of sp ( 2m , r )
在第一章中，得到了多項式環上辛群的一類極大子群：設f是一個域， r = f [ ]是域f上關于的一元多項式環， m是一個正整數， f f ， s是r的由- f生成的理想，則是sp ( 2m ， r )的一個極大子群。
5. Its content may be separated into two parts . the first part contains chapter one and chapter two , which treat of the harmonic maps from surface into symplectic groups and quaternion grassmann manifolds . the second part contains chapter three and chapter four , which treat of local isometric immersions from space forms or riemannian products of space forms into space forms
全文分四章，內容可分為兩部分：第一部分包括第一、二章，主要論涉從曲面到辛群及四元grassmann流形的調和映射；第二部分包括第三、四章，主要論涉從空間形式或空間形式的局部riemann積到空間形式的局部等距浸入。

## 百科釋義

In mathematics, the name symplectic group can refer to two different, but closely related, types of mathematical groups, denoted Sp(2n, F) and Sp(n). The latter is sometimes called the compact symplectic group to distinguish it from the former.
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