Categorical Relations Between Langlands Dual Quantum Affine Algebras: Exceptional Cases
- 주제(기타) Physics, Mathematical
- 설명문(일반) [Oh, Se-jin] Ewha Womans Univ, 52 Ewhayeodae Gil, Seoul, South Korea; [Scrimshaw, Travis] Univ Queensland, Sch Math & Phys, St Lucia, Qld 4072, Australia
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- OA유형 Green Submitted
- 발행기관 SPRINGER
- 발행년도 2019
- URI http://www.dcollection.net/handler/ewha/000000160422
- 본문언어 영어
- Published As http://dx.doi.org/10.1007/s00220-019-03287-w
초록/요약
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.
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