JP Journal of Algebra, Number Theory and Applications
Volume 39, Issue 3, Pages 277 - 306
(June 2017) http://dx.doi.org/10.17654/NT039030277 |
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NEW TURAEV BRAIDED GROUP CATEGORIES BASED ON CROSSED HOPF p-QUASIGROUPS
Xiao-Li Fang and Gui-Qi Shi
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Abstract: In this paper, we introduce crossed Hopf p-quasigroups and show that Yetter-Drinfeld category over a crossed Hopf p-quasigroup is a Turaev braided group category. As applications, a new solution of Yang-Baxter type equation is given and some results obtained by Alonso Álvarez et al. and Zunino can be regarded as special cases. |
Keywords and phrases: crossed Hopf p-quasigroup, Turaev braided group category, Yetter-Drinfeld module. |
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