On the geometricity of lattices generated by orbits of subspaces under finite classical groups
文献类型：期刊论文
| 作者 | Huo, YJ; Wan, ZX |
| 刊名 | JOURNAL OF ALGEBRA
 |
| 出版日期 | 2001-09-01 |
| 卷号 | 243期号:1页码:339-359 |
| 关键词 | partial order geometric lattice classical groups orbit of subspaces |
| ISSN号 | 0021-8693 |
| 英文摘要 | Let F-q(n),be the n-dimensional vector space over the finite field F-q and let G(n) be one of the classical groups of degree n over F-q. Let A be any orbit of subspaces under G(n). Denote by L the set of subspaces which are intersections of subspaces in A and assume the intersection of the empty set of subspaces of F-q(n) is F-q(n) itself. By ordering L by ordinary or reverse inclusion, two lattices are obtained. This paper discusses when they form geometric lattices. (C) 2001 Academic Press. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000170882200017 |
| 出版者 | ACADEMIC PRESS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15916]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Huo, YJ |
| 作者单位 | 1.Zhangjiakou Teachers Coll, Dept Math, Hebei 075028, Peoples R China 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huo, YJ,Wan, ZX. On the geometricity of lattices generated by orbits of subspaces under finite classical groups[J]. JOURNAL OF ALGEBRA,2001,243(1):339-359. |
| APA | Huo, YJ,&Wan, ZX.(2001).On the geometricity of lattices generated by orbits of subspaces under finite classical groups.JOURNAL OF ALGEBRA,243(1),339-359. |
| MLA | Huo, YJ,et al."On the geometricity of lattices generated by orbits of subspaces under finite classical groups".JOURNAL OF ALGEBRA 243.1(2001):339-359. |
入库方式： OAI收割
来源：数学与系统科学研究院
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