伪辛群作用下子空间轨道生成的格L(m,2s,s,1;2v+2)与L(m,2s+1,s,1;2v+1)的条件  

The Isomorphic Conditions Of Some Lattices Generated By Transitive Sets Of Subspaces Under Finite Pseudo-Symplectic Groups

作　　者：谢中根[1] 

机构地区：[1]安徽理工大学北区,安徽淮南232007

出　　处：《华北科技学院学报》2004年第1期121-122,共2页Journal of North China Institute of Science and Technology

摘　　要：讨论了伪辛群作用下子空间轨道生成的格的同构条件。首先 ,给出三个引理 ,说明格L(m ,2s+ 1,s,1;2v+ 1)和L(m ,2s ,s ,1;2v+ 2 )与L(m 1,s;2v)同构 ,进而进行推广 ,得出了格L(m ,2s,s,1;2v + 2 )与L(m ,2s+ 1,s,1;2v+ 1)In this paper ,the isomorphic conditions of some Lattices generated by transitive sets of subspace under finite Pseudo symplectic groups will be discussed. At first , through three lemmas, we obtain L(m,2s+1,s,1 ;2v+1) and L(m-1,s;2v) are isomorphic , L(m,2s,s,1;2v+2) and L(m-1,s;2v) are i so morphic. Then based on the definition of generalized mean, we obtain the iso morphic conditions of L(m,2s+1,s,1;2v+1) and L(m,2s,s,1;2v+2).

关 键 词：伪辛群 子空间轨道 格 同构条件 

分 类 号：O152[理学—数学]