COMMUNICATIONS IN MATHEMATICAL PHYSICS vol. 368, no. 1, pp. 295 - 367
Publisher
SPRINGER
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
We first compute the denominator formulas for quantum affine algebras of all exceptional types. Then we prove the isomorphisms among Grothendieck rings of categories CQ(t)(t=1,2,3),CQ(1) and CQ(1). These results give Dorey's rule for all exceptional affine types, prove the conjectures of Kashiwara-Kang-Kim and Kashiwara-Oh, and provides the partial answers of Frenkel-Hernandez on Langlands duality for finite dimensional representations of quantum affine algebras of exceptional types.