Exchange dynamical quantum groups

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 al gebroid), whose representation theory is essentially the same as the repres entation theory of the quantum group U-q(g). This dynamical quantum group i s obtained from the fusion and exchange relations between intertwining oper ators in representation theory of U-q(g). and is an algebraic structure sta nding behind these relations.