NEW QUANTUM GROUPS BY DOUBLE-BOSONIZATION

We obtain new family of quasitriangular Hopf algebras C-q(0/n) > U-q(s u(n)) < C-q(0/n) via the author's recent double-bosonisation construct ion for new quantum groups. They are versions of U-q(su(n+1)) with a f ermionic 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-d ouble of an anyonic (Z/nZ-graded) braided group and the double-bosonis ation of the free braided group in n variables.