A MASCHKE TYPE THEOREM FOR DOI-HOPF MODULES AND APPLICATIONS

Authors
CAENEPEEL S MILITARU G ZHU SL
Citation
S. Caenepeel et al., A MASCHKE TYPE THEOREM FOR DOI-HOPF MODULES AND APPLICATIONS, Journal of algebra, 187(2), 1997, pp. 388-412
Citations number
18
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of algebra → ACNP
ISSN journal
00218693
Volume
187
Issue
2
Year of publication
1997
Pages
388 - 412
Database
ISI
SICI code
0021-8693(1997)187:2<388:AMTTFD>2.0.ZU;2-P
Abstract
We prove a Maschke type theorem for Doi-Hopf modules. A sufficient con dition in order to have a Maschke type property is that there exists a normalized integral map for the Doi-Hopf datum in question. The resul ts are applied to graded modules and to Yetter-Drinfel'd modules. As a nother application, a characterization of cosemisimple coalgebras over a field is given. (C) 1997 Academic Press.