交换群上HOPF路余代数的结构分析

Construction Classification of Hopf Path Coalgebras over Diherdral Group D_2

设K是域,运用类似凯莱图的Hopf箭向,在交换群D2上的分歧系统中,有2个元素非零和3个元素非零时,给出了KD2在Hopf双模KQ1上的作用,并得到了路余代数KQc的分次Hopf子代数的结构.

Using Hopf quivers which are analogues to Cayley graphs, the action of group algebra KD2 on Hopf bimoudule KQ1 is given, where K is a field. There is the subhopfalgebras of graded Hopf algebra structures on a path coalgebra KQ^c when D2 is an abelian group and two or three elements are nonzero natural numbers in the RSC of D2 .