We obtain new family of quasitriangular Hopf algebras $C^{ 0|n}_q\lcross \widetilde{ U_q(su_n)}\rcross C^{ 0|n}_q$ via the author's recent double-bosonisation construction for new quantum groups. They are versions of $U_q(su_{ n+1})$ with a fermionic rather than bosonic quantum plane of roots adjoined to $U_q(su_n)$. We give the $n=2$ case in detail. We also consider the anyonic-double of an anyonic ($Z/nZ$-graded) braided group and the double-bosonisation of the free braided group in $n$ variables.
Categories: q-alg math.QA