| Hopf Algebras in Group Yetter-Drinfel'd Categories |
| Received:October 31, 2007 Revised:July 07, 2008 |
| Key Words:
Crossed Hopf group-coalgebra group-comodulelike object group-(co)module (co)algebra.
|
| Fund Project:the Specialized Research Fund for the Doctoral Program of Higher Education (No.20060286006); the National Natural Science Foundation of China (No.10571026). |
|
| Hits: 4398 |
| Download times: 1738 |
| Abstract: |
| In this note we first show that if $H$ is a finite-dimensional Hopf algebra in a group Yetter-Drinfel'd category $^{L} _{L}{\mathcal {YD}}(\pi)$ over a crossed Hopf group-coalgebra $L$, then its dual $H^*$ is also a Hopf algebra in the category $^{L} _{L}{\mathcal {YD}}(\pi) $. Then we establish the fundamental theorem of Hopf modules for $H$ in the category $^{L} _{L}{\mathcal {YD}}(\pi)$. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.02.009 |
| View Full Text View/Add Comment |
