Geodesic
Symmetries in Yetter-Drinfel'd-long categories
Filomat, Tome 35 (2021) no. 14, p. 4879

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DOI

Let H be a Hopf algebra and LR(H) the category of Yetter-Drinfel'd-Long bimodules over H. We first give sufficient and necessary conditions for LR(H) to be symmetry and pseudosymmetry, respectively. We then introduce the definition of the u-condition in LR(H) and discuss the relation between the u-condition and the symmetry of LR(H). Finally, we show that LR(H) over a triangular (cotriangular, resp.) Hopf algebra contains a rich symmetric subcategory
DOI : 10.2298/FIL2114879Y
Classification : 16T05, 18W05
Keywords: Symmetric category, Yetter-Drinfel’d-Long category, The u-condition, Pseudosymmetry, (co)quasitriangular Hopf algebra 
Dongdong Yan; Shuanhong Wang. Symmetries in Yetter-Drinfel'd-long categories. Filomat, Tome 35 (2021) no. 14, p. 4879 . doi: 10.2298/FIL2114879Y
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     title = {Symmetries in {Yetter-Drinfel'd-long} categories},
     journal = {Filomat},
     pages = {4879 },
     year = {2021},
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     number = {14},
     doi = {10.2298/FIL2114879Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2114879Y/}
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