Abstract:
For any simple Lie algebra ? and any complex number q which is not zero or a nontrivial root of unity, %but may be equal to 1 we construct a dynamical quantum group (Hopf algebroid), whose representation theory is essentially the same as the representation theory of the quantum group U q (?). This dynamical quantum group is obtained from the fusion and exchange relations between intertwining operators in representation theory of U q (?), and is an algebraic structure standing behind these relations.
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Received: 24 March 1998 / Accepted: 14 February 1999
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Etingof, P., Varchenko, A. Exchange Dynamical Quantum Groups. Commun. Math. Phys. 205, 19–52 (1999). https://doi.org/10.1007/s002200050665
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DOI: https://doi.org/10.1007/s002200050665