置换群S_6上的一类Hopf代数结构  

A CLASS OF HOPF ALGEBRAS ON PERMUTATION GROUP S_6

作　　者：吴美云[1] 唐秋林[1] 罗秀花 姜会玲 WU Mei-yun;TANG Qiu-lin;LUO Xiu-hua;JIANG Hui-ling(School of Science,Nantong University,Nantong 226007,China)

机构地区：[1]南通大学理学院,江苏南通226007

出　　处：《数学杂志》2018年第5期921-932,共12页Journal of Mathematics

基　　金：国家自然科学基金资助(11401323);南通大学校级课题(13230098)

摘　　要：本文研究了置换群S_6上的分次Hopf代数的构造问题.利用箭向,建立了群的带特征标的分歧系统和分次Hopf代数之间的联系,获得了群S_6的特征标和S_6的自同构群Aut(S_6)之间的关系.从而构造出了就S_6的某个分歧数据的不同构的所有分次Hopf代数.In this paper,we study the construction of a class of graded Hopf algebras on S6,where S6 is a permutation group.With the help of quiver,we establish a correlation between the ramification system of a group with characters and graded Hopf algebras,and give the relation between the characters and automorphisms of S6.Then we work out the structures of the non-isomorphic graded Hopf algebras when the ramification data r of S6 is given.

关 键 词：HOPF代数 箭向 分歧 

分 类 号：O153.3[理学—数学]