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Exchange dynamical quantum groups

Pavel Etingof·Alexander Varchenko
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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 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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Pavel Etingof, Alexander Varchenko. 1999-02-06. Exchange dynamical quantum groups. https://doi.org/10.1007/s002200050665

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