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The (q, t)-Cartan matrix specialized at q=1 and its applications
- Title
- The (q, t)-Cartan matrix specialized at q=1 and its applications
- Authors
- Kashiwara, Masaki; Oh, Se-jin
- Ewha Authors
- 오세진
- SCOPUS Author ID
- 오세진
- Issue Date
- 2023
- Journal Title
- MATHEMATISCHE ZEITSCHRIFT
- ISSN
- 0025-5874
1432-1823
- Citation
- MATHEMATISCHE ZEITSCHRIFT vol. 303, no. 2
- Keywords
- Quantum Cartan matrix; Dynkin quiver; Q-data; Cluster algebra; Quantum affine algebra
- Publisher
- SPRINGER HEIDELBERG
- Indexed
- SCIE; SCOPUS
- Document Type
- Article
- Abstract
- 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.
- DOI
- 10.1007/s00209-022-03195-1
- Appears in Collections:
- 자연과학대학 > 수학전공 > Journal papers
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