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14 papers · 1 filter
Multiplier Hopf coquasigroups with faithful integrals
Tao Yang
Let be a multiplier Hopf coquasigroup. If the faithful integrals exist, then they are unique up to scalar. Furthermore, if is of discrete type, then its integral duality $\…
Integral Dual of some infinite dimensional Hopf quasigroups
Tao Yang
For an infinite dimensional Hopf quasigroup, if the faithful integral exists, then it is unique up to scalar. Base on the faithful integrals, we construct the integral dual of a cl…
Hopf brace, braid equation and bicrossed coproduct
Huihui Zheng, Fangshu Li, Tianshui Ma +1
In this paper, we mainly give some equivalent characterisations of Hopf braces, show that the category of Hopf braces is equivalent to the category $\mathcal{C}(A…
A Class of Quasitriangular Group-cograded Multiplier Hopf Algebras
Tao Yang, Xuan Zhou, Haixin Zhu
For a multiplier Hopf algebra pairing , we construct a class of group-cograded multiplier Hopf algebras , generalizing the classical construction of f…
Representation Crossed Category of Group-cograded Multiplier Hopf Algebras
Tao Yang
Let be a multiplier Hopf -coalgebra over a group , in this paper we give the definition of the crossed left --modules and show that the cate…
Non-trivially graded self-dual fusion categories of rank
Jingcheng Dong, Liangyun Zhang, Li Dai
Let be a self-dual spherical fusion categories of rank with non-trivial grading. We complete the classification of Grothendieck ring of $\mathcal…