| 有限奇异辛群作用下轨道中子空间的和生成的格(Ⅰ) |
| |
| 引用本文： | 高有,付信志. 有限奇异辛群作用下轨道中子空间的和生成的格(Ⅰ)[J]. 黑龙江大学自然科学学报, 2009, 26(5) |
| |
| 作者姓名： | 高有 付信志 |
| |
| 作者单位： | 中国民航大学理学院,天津,300300;中国民航大学理学院,天津,300300 |
| |
| 基金项目： | Supported by the National Natural Science Foundation of China(60776810);;the Natural Science Foundation of Tianjin City(08JCYBJC13900) |
| |
| 摘 要： | 设Fq(2ν+l)是有限域Fq上的(2ν+l)-维向量空间,Sp2ν+l,ν(Fq)是Fq上2ν+l级奇异辛群,M为Sp2ν+l,ν(Fq)作用下的任一子空间轨道.LJ表示M中子空间的和的集合,并假定Fq(2ν+l)的0个子空间的和是{0}子空间,按包含或反包含关系来定义LJ的偏序,可得两个格.研究了不同格之间的包含关系,含于一个给定的格LJ中的子空间的特征以及格LJ的特征多项式.
|
| 关 键 词： | 格 奇异辛群 子空间轨道 子空间的和 |
Lattices generated by joins of the subspaces in orbits under finite singular symplectic groups (I) |
| |
| GAO You,FU Xin-zhi. Lattices generated by joins of the subspaces in orbits under finite singular symplectic groups (I)[J]. Journal of Natural Science of Heilongjiang University, 2009, 26(5) |
| |
| Authors: | GAO You FU Xin-zhi |
| |
| Affiliation: | College of Science;Civil Aviation University of China;Tianjin 300300;China |
| |
| Abstract: | Let F_q~((2v+l)) be the (2v + l)-dimensional vector space over the finite field F_q,and Sp_(2v+l,v)(F_q) the singular symplectic groups of degree 2v +l over F_q.Let M be any orbit of subspaces under Sp_(2y+l,v) (F_q).Denote by L~J the set of subspaces which are joins of subspaces in M and the join of the empty set of subspaces of F_q~((2V+l))is assumed to be {0}.By ordering L~J by ordinary or reverse inclusion,two lattices are obtained.The inclusion relations between different lattices,a characterization of subspaces contained in a given lattice L~J,and the characteristic polynomial of L~J are studied. |
| |
| Keywords: | lattice singular symplectic group orbit of subspaces join of subspaces |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
