置换群S6上的一类Hopf代数结构
A CLASS OF HOPF ALGEBRAS ON PERMUTATION GROUP S6

本文研究了置换群S6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S6的特征标和S6的自同构群Aut（S6）之间的关系.从而构造出了就S6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