Exchange dynamical quantum groups (Q1809238)

The authors construct a dynamical quantum group (Hopf algebroid) for any simple Lie algebra \(g\) and any complex number \(q\) which is not zero or a nontrivial root of unity. The representation theory of the Hopf algebroid is essentially the same as that of the quantum group \(U_q(g)\). This dynamical quantum group is obtained from the fusion and exchange relations between intertwining operators in the representation theory of \(U_q(g)\), and is an algebraic structure standing behind these relations.