Hopf bimodules and Yetter-Drinfeld modules of Hopf algebroids
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866910811371339776 |
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| author | Han, Xiao |
| author_facet | Han, Xiao |
| contents | We construct Hopf bimodules and Yetter-Drinfeld modules of Hopf algebroids as a generalization of the theory for Hopf algebras. More precisely, we show that the categories of Hopf bimodules and Yetter-Drinfeld modules over a Hopf algebroid are equivalent (pre-)braided monoidal categories. Moreover, we also study the duality between finitely generated projective Yetter-Drinfeld modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_03595 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hopf bimodules and Yetter-Drinfeld modules of Hopf algebroids Han, Xiao Quantum Algebra We construct Hopf bimodules and Yetter-Drinfeld modules of Hopf algebroids as a generalization of the theory for Hopf algebras. More precisely, we show that the categories of Hopf bimodules and Yetter-Drinfeld modules over a Hopf algebroid are equivalent (pre-)braided monoidal categories. Moreover, we also study the duality between finitely generated projective Yetter-Drinfeld modules. |
| title | Hopf bimodules and Yetter-Drinfeld modules of Hopf algebroids |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2312.03595 |