The (q, t)-Cartan matrix specialized at q= 1 and its applications
- 주제(키워드) Cluster algebra , Dynkin quiver , Q-data , Quantum affine algebra , Quantum Cartan matrix
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Springer Science and Business Media Deutschland GmbH
- 발행년도 2023
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000203902
- 본문언어 영어
- Published As https://doi.org/10.1007/s00209-022-03195-1
초록/요약
The (q, t)-Cartan matrix specialized at t= 1 , usually called the quantum Cartan matrix, has deep connections with (i) the representation theory of its untwisted quantum affine algebra, and (ii) quantum unipotent coordinate algebra, root system and quantum cluster algebra of skew-symmetric type. In this paper, we study the (q, t)-Cartan matrix specialized at q= 1 , called the t-quantized Cartan matrix, and investigate the relations with (ii′) its corresponding unipotent quantum coordinate algebra, root system and quantum cluster algebra of skew-symmetrizable type. © 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
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