| 一类Hopf路余代数的不可约表示 |
| |
| 引用本文： | 吴美云,唐秋林. 一类Hopf路余代数的不可约表示[J]. 安徽大学学报(自然科学版), 2009, 33(2) |
| |
| 作者姓名： | 吴美云 唐秋林 |
| |
| 作者单位： | 南通大学,理学院,江苏,南通,226007 |
| |
| 摘 要： | 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.
|
| 关 键 词： | Hopf代数 商代数 不可约模 |
Irreducible representation of a class of path Hopf coalgebra |
| |
| WU Mei-yun,TANG Qiu-lin. Irreducible representation of a class of path Hopf coalgebra[J]. Journal of Anhui University(Natural Sciences), 2009, 33(2) |
| |
| Authors: | WU Mei-yun TANG Qiu-lin |
| |
| Affiliation: | College of Science;Nantong University;Nantong 226007;China |
| |
| Abstract: | Let D2 was a dihedral group and H was a path Hopf coalgebra over a group algebra kD2.Then H was noncommutative and noncocommutative.Let T was a Hopf ideal of H and H-=H/T was a quotient algebra.In the paper,we discussed the modular representation of H and gave all irreducible modules which was one dimensional and two dimensional on H-.All of them were mutually isomorphic.. |
| |
| Keywords: | Hopf algebra quotient algebra irreducible module |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
