一类Hopf路余代数的不可约表示

Irreducible representation of a class of path Hopf coalgebra

设D2是二面体群,H是群代数kD2上的一个Hopf路余代数,则H是非交换非余交换的.设T是H的Hopf理想,从而形成商代数H-=H/T.文中讨论了H-上的模表示,给出了H-上1维不可约模与2维不可约模,它们是H-上的互不同构所有不可约模.

Let D2 was a dihedral group and H was a path Hopf coalgebra over a group algebra kD2. Then H was noneommutative and noncocommutative. Let T was a Hopf ideal of H and H =H/T algebra. In the paper, we discussed the modular representation of H and gave all irreducible was one dimensional and two dimensional on H. All of them were mutually isomorphic..