Abstract
We give a dual formulation of recent work on the representation theory of general quantum groups. These form a rigid quasitensor category C to which is associated a braided group Aut(C) of braided-commutative “co-ordinate functions” analogous to the ring of functions on a group or supergroup. Every dual quasitriangular Hopf algebra A gives rise to such a braided group A. We give the example of the braided group BSL(2) in detail. We also give the rank of quantum groups in dual form and explain its connection with the partition function of simple quantum systems.
SERC Research Fellow and Drapers Fellow of Pembroke College, Cambridge
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© 1992 Springer-Verlag
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Majid, S. (1992). Rank of quantum groups and braided groups in dual form. In: Kulish, P.P. (eds) Quantum Groups. Lecture Notes in Mathematics, vol 1510. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101180
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DOI: https://doi.org/10.1007/BFb0101180
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