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http://hdl.handle.net/1942/24030| Title: | Calabi–Yau property under monoidal Morita–Takeuchi equivalence | Authors: | Wang, Xingting Yu, Xiaolan ZHANG, Yinhuo |
Issue Date: | 2017 | Source: | PACIFIC JOURNAL OF MATHEMATICS, 290 (2), p. 481-510 | Abstract: | Let H and L be two Hopf algebras such that their comodule categories are monoidally equivalent. We prove that if H is a twisted Calabi–Yau (CY) Hopf algebra, then L is a twisted CY algebra when it is homologically smooth. In particular, if H is a Noetherian twisted CY Hopf algebra and L has finite global dimension, then L is a twisted CY algebra. | Notes: | Wang, XT (reprint author), Temple Univ, Dept Math, Philadelphia, PA 19122 USA. xingting@temple.edu; xlyu@hznu.edu.cn; yinhuo.zhang@uhasselt.be | Keywords: | Morita–Takeuchi equivalence; Calabi–Yau algebra; cogroupoid | Document URI: | http://hdl.handle.net/1942/24030 | Link to publication/dataset: | http://msp.org/pjm/2017/290-2/index.xhtml | ISSN: | 0030-8730 | e-ISSN: | 1945-5844 | DOI: | 10.2140/pjm.2017.290.481 | ISI #: | 000409093000010 | Rights: | © 2017 Mathematical Sciences Publisher | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2018 |
| Appears in Collections: | Research publications |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| comodule13.pdf | Peer-reviewed author version | 474.74 kB | Adobe PDF | View/Open |
| Calabi-Yau property under monoidal Morita-Takeuchi equivalences.pdf | Published version | 457.11 kB | Adobe PDF | View/Open |
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