Monoidal categorification and quantum affine algebras
- 주제(키워드) quantum affine algebra , monoidal categorification , R-matrices , cluster algebra
- 주제(기타) Mathematics
- 설명문(일반) [Kashiwara, Masaki] Kyoto Univ, Res Inst Math Sci, Inst Adv Study, Kyoto 6068502, Japan; [Kashiwara, Masaki] Korea Inst Adv Study, Seoul 02455, South Korea; [Kim, Myungho] Kyung Hee Univ, Dept Math, Seoul 02447, South Korea; [Oh, Se-jin] Ewha Womans Univ, Dept Math, Seoul 03760, South Korea; [Park, Euiyong] Univ Seoul, Dept Math, Seoul 02504, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- OA유형 Green Submitted
- 발행기관 CAMBRIDGE UNIV PRESS
- 발행년도 2020
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000168818
- 본문언어 영어
- Published As https://dx.doi.org/10.1112/S0010437X20007137
초록/요약
We introduce and investigate new invariants of pairs of modules M and N over quantum affine algebras U-q'(g) by analyzing their associated R-matrices. Using these new invariants, we provide a criterion for a monoidal category of finite-dimensional integrable U-q'(g)-modules to become a monoidal categorification of a cluster algebra.
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