Year: 2012
Author: Quanguo Chen, Jiangang Tang
Communications in Mathematical Research , Vol. 28 (2012), Iss. 4 : pp. 289–299
Abstract
We prove a Maschke type theorem for Doi-Hopf $π$-modules. A sufficient condition for having a Maschke type property is that there exists a suitable total integral map for the Doi-Hopf $π$-modules in question. The applications of the results are considered. Finally, As an application of the existence of total integral, we prove that $\mathop ⊕ \limits_{α∈π} C_α ⊗ A$ is a generator in the category $^{π-C} U(H)A$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-CMR-19032
Communications in Mathematical Research , Vol. 28 (2012), Iss. 4 : pp. 289–299
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: integral Hopf $π$-coalgebra Hopf algebra Maschke type theorem.