21 citations · 95 across the 33 of their papers we have counts for
4 papers · 1 filter
Generalized virtual braid groups, quasi-shuffle product and quantum groups
Xin Fang
We introduce in this paper the generalized virtual braid group on n strands GVB_n, generalizing simultaneously the braid groups and their virtual versions. A Mastumoto-Tits type se…
The Classification of Finite Metahamiltonian -Groups
Xingui Fang, Lijian An
A group is called metahamiltonian if all non-abelian subgroups of it are normal. This concept is a natural generation of Hamiltonian groups. In this paper, a complete classificatio…
Cofree Hopf algebras on Hopf bimodule algebras
Xin Fang, Run-Qiang Jian
We investigate a Hopf algebra structure on the cotensor coalgebra associated to a Hopf bimodule algebra which contains universal version of Clifford algebras and quantum groups as…
Non-symmetrizable quantum groups: defining ideals and specialization
Xin Fang
Two generating sets of the defining ideal of a Nichols algebra of diagonal type are proposed, which are then applied to study the bar involution and the specialization problem of q…