| 奇异典型群作用下子空间轨道的长度 |
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| 引用本文： | 钟裕林,霍元极.奇异典型群作用下子空间轨道的长度[J].东北师大学报(自然科学版),2012(1):36-40. |
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| 作者姓名： | 钟裕林 霍元极 |
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| 作者单位： | 海南软件职业技术学院基础部;河北北方学院数学系 |
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| 基金项目： | 海南省自然科学基金资助项目(109006,610230) |
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| 摘 要： | 设q是q个元素的有限域,qn+l是Fq上n+l维行向量空间,Gn+l,n是n+l级奇异典型群之一.qn+l在Gn+l,n上的作用下导出了它在qn+l的子空间集合上的作用,因而qn+l在Gn+l,n作用下划分成一些轨道Mn+l,n.采用矩阵初等行变换的方法,分别给出奇异辛群,奇异酉群作用下子空间轨道Mn+l,n的长度.
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| 关 键 词： | 有限域 典型群 奇异辛群 奇异酉群 子空间轨道 |
Length of subspaces orbits under the actions of singular classical groups |
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| ZHONG Yu-lin,HUO Yuan-ji.Length of subspaces orbits under the actions of singular classical groups[J].Journal of Northeast Normal University (Natural Science Edition),2012(1):36-40. |
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| Authors: | ZHONG Yu-lin HUO Yuan-ji |
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| Institution: | 1,2(1.Department of Basic,Hainan College of Software Technology,Qionghai 571400,China; 2.Department of Mathematics,Hebei North University,Zhangjiakou 075000,China) |
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| Abstract: | Let q be a finite field of q elements,n+lq be n-dimensional row vector space over q,and Gn+l,n be one of the classical groups.n+lq under the action of Gn+l,n introduce the action the set of subspaces of n+lq,and this set n+lq be partitioned into any orbits Mn+l,n.Using methods of elmentary transformations in matries the length of Mn+l,n are given. |
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| Keywords: | finite field classical group singular symplectic group singular unitary group subspaces orbit |
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