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A Semiregularity Map for Modules and Applications to Deformations

✍ Scribed by Ragnar-Olaf Buchweitz; Hubert Flenner

Book ID
111538225
Publisher
Cambridge University Press
Year
2003
Tongue
English
Weight
613 KB
Volume
137
Category
Article
ISSN
0010-437X

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We prove a Maschke type theorem for Doi᎐Hopf modules. A sufficient condition in order to have a Maschke type property is that there exists a normalized integral map for the Doi᎐Hopf datum in question. The results are applied to graded modules and to Yetter᎐Drinfel'd modules. As another application,