New Quantum Groups by Double-Bosonisation
Abstract
We obtain new family of quasitriangular Hopf algebras C0|nq Uq(sun) C0|nq via the author's recent double-bosonisation construction for new quantum groups. They are versions of Uq(sun+1) with a fermionic rather than bosonic quantum plane of roots adjoined to Uq(sun). 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.
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