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| 摘要: |
| 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. |
| 关键词: Hopf代数 箭向 分歧 |
| DOI： |
| 分类号:O153.3 |
| 基金项目:国家自然科学基金资助（11401323）；南通大学校级课题（13230098）. |
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| A CLASS OF HOPF ALGEBRAS ON PERMUTATION GROUP S6 |
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WU Mei-yun,TANG Qiu-lin,LUO Xiu-hua,JIANG Hui-ling
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| Abstract: |
| 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. |
| Key words: Hopf algebra quiver ramification |
