Group Corings |
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Authors: | S. Caenepeel K. Janssen S. H. Wang |
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Affiliation: | (1) Faculty of Engineering, Vrije Universiteit Brussel, 1050, Brussels, Belgium;(2) Department of Mathematics, Southeast University, Nanjing, 210096, China |
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Abstract: | We introduce group corings, and study functors between categories of comodules over group corings, and the relationship to graded modules over graded rings. Galois group corings are defined, and a Structure Theorem for the G-comodules over a Galois group coring is given. We study (graded) Morita contexts associated to a group coring. Our theory is applied to group corings associated to a comodule algebra over a Hopf group coalgebra. This research was supported by the research project G.0622.06 “Deformation quantization methods for algebras and categories with applications to quantum mechanics” from Fonds Wetenschappelijk Onderzoek-Vlaanderen. The third author was partially supported by the SRF (20060286006) and the FNS (10571026). |
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Keywords: | Corings Group coalgebras Hopf– Galois extensions Graded rings Graded Morita contexts |
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