Exchange dynamical quantum groups

Details Exchange dynamical quantum groups Exchange dynamical quantum groups

1998-01-29

arxiv.org/abs/math/9801135v2

Mathematics

Quantum Algebra

30 pages, latex; two short sections and some remarks were added

Scientific paper

10.1007/s002200050665

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 U_q(g). This dynamical quantum group is obtained from the fusion and exchange relations between intertwining operators in representation theory of U_q(g), and is an algebraic structure standing behind these relations.

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