一类Hopf路余代数

A Class of Hopf Path Coalgebras

设F是域,G是3阶循环群,Q是群G的箭图.借助于模范畴的等价性,给出了Hopf路余代数FQ^c的所有结构分类,并给出了FQ^c的子Hopf代数FG[FQ_1~c]的结构.

Let F be a field,G a cyclic group of order 3 and Q a quiver of a group G.With the help of the equivalence of module categories,we give all the isomorphic classification of the Hopf path coalgebra FQ^c and the structures of Hopf subalgebra FG[FQ1^c]of FQ^c.