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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.05687 |
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Table of Contents:
- Let H be a finite dimensional Hopf algebra over a field k and A an H-module algebra over k. Khovanov and Qi defined acyclic objects and quasi-isomorphisms by using null-homotopy and contractible objects. They also defined the cofibrant objects, the derived category of A#H-modules, and showed properties of compact generators. On the other hand, a model structure on the category of A#H-modules are not mentioned yet. In this paper, we check that the category of A#H-modules admits a model structure, where the cofibrant objects and the derived category are just those defined by Qi. We also show that the model structure is cofibrantly generated.