# Affine quantum group

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Affine quantum group

Affine quantum group is a common name of several objects in representation theory, which include Yangians and quantized universal enveloping algebras of affine Kac-Moody Lie algebras (quantized affine algebras).

Affine quantum groups were introduced by Vladimir Drinfeld, motivated by the quantum inverse scattering method of the Leningrad School. The Japanese School discovered many deep properties of affine quantum groups in the course of their own study of two-dimensional quantum integrable models. Their important contributions include Masaki Kashiwara's construction of the crystal basis in the limit "q" goes to 0 and "path models" of representations.

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