Geodesic
Ribbon entwining datum
Filomat, Tome 34 (2020) no. 9, p. 3065

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DOI

Let (C, A, ϕ) be an entwining structure over a field k. In this paper, we introduce the notion of the ribbon entwined datum to generalize the definition of (co)ribbon structures, and give several necessary and sufficient conditions for the category of entwined modules to be a ribbon category. We also discuss the ribbon structures in the Long dimodule category and Yetter-Drinfel'd category for applications.
DOI : 10.2298/FIL2009065Z
Classification : 16T15, 16W30
Keywords: entwining structure, ribbon category, Yetter-Drinfel’d module, Long dimodule 
Xiaohui Zhang; Wei Wang; Xiaofan Zhao; Shengxiang Wang. Ribbon entwining datum. Filomat, Tome 34 (2020) no. 9, p. 3065 . doi: 10.2298/FIL2009065Z
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     author = {Xiaohui Zhang and Wei Wang and Xiaofan Zhao and Shengxiang Wang},
     title = {Ribbon entwining datum},
     journal = {Filomat},
     pages = {3065 },
     year = {2020},
     volume = {34},
     number = {9},
     doi = {10.2298/FIL2009065Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2009065Z/}
}
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