- Affine quantum group
**Affine quantum group**is a common name of several objects inrepresentation theory , which includeandYangian squantized universal enveloping algebra s of affine Kac-Moody Lie algebras (**quantized affine algebras**).Affine quantum groups were introduced by

Vladimir Drinfeld , motivated by thequantum 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 quantumintegrable model s. Their important contributions includeMasaki Kashiwara 's construction of thecrystal basis in the limit "q" goes to 0 and "path models" of representations.

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