二面体群D_2上Hopf路余代数的结构分类  

STRUCTURE CLASSIFICATION OF HOPF PATH COALGEBRAS OVER A DIHEDRAL GROUP D_2

作　　者：吴美云[1] 

机构地区：[1]南通大学理学院,江苏南通226007

出　　处：《数学杂志》2010年第3期509-515,共7页Journal of Mathematics

基　　金：国家自然科学基金(10471121);南通大学自然科学基金(05Z006)

摘　　要：本文研究了Hopf代数的构造问题.利用模范畴和箭图,获得了当G是二面体群D_2这一4阶交换群时的Hopf路余代数kQ^c的同构分类及其子Hopf代数kG[kQ_1]的结构,推广了当G是2阶循环群时的相应结论.In this article,we study the problem of the structure classification of the Hopf algebra.By using the module category and the quiver,we obtain the distinct isomorphic classification of Hopf path coalgebras kG^c and the structure of Hopf subalgebra of kG[kQ_1],when G is a dihedral group D_2,that is,an abelian group of degree 4.This conclusion extends the results when G is a cyclic group of degree 2.

关 键 词：箭图 HOPF代数 Hopf双模 

分 类 号：O153.3[理学—数学]