Balodi, M and Banerjee, A and Ray, S (2021) Entwined Modules over Linear Categories and Galois Extensions. In: Israel Journal of Mathematics .
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Abstract
In this paper, we study modules over quotient spaces of certain categorified fiber bundles. These are understood as modules over entwining structures involving a small K-linear category D and a K-coalgebra C. We obtain Frobenius and separability conditions for functors on entwined modules. We also introduce the notion of a C-Galois extension �� D of categories. Under suitable conditions, we show that entwined modules over a C-Galois extension may be described as modules over the subcategory � of C-coinvariants of D. © 2021, The Hebrew University of Jerusalem.
| Item Type: | Journal Article |
|---|---|
| Publication: | Israel Journal of Mathematics |
| Publisher: | Hebrew University Magnes Press |
| Additional Information: | The copyright for this article belongs to Hebrew University Magnes Press |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 24 Mar 2021 09:27 |
| Last Modified: | 24 Mar 2021 09:27 |
| URI: | http://eprints.iisc.ac.in/id/eprint/68531 |
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