Exchange dynamical quantum groups
Abstract
For any simple Lie algebra g and any complex number q which is not zero or a nontrivial root of unity, we construct a dynamical quantum group (Hopf algebroid), whose representation theory is essentially the same as the representation theory of the quantum group Uq(g). This dynamical quantum group is obtained from the fusion and exchange relations between intertwining operators in representation theory of Uq(g), and is an algebraic structure standing behind these relations.
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