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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, MasakiOh, Se-jin
Ewha Authors
오세진
SCOPUS Author ID
오세진scopus
Issue Date
2023
Journal Title
MATHEMATISCHE ZEITSCHRIFT
ISSN
0025-5874JCR Link

1432-1823JCR Link
Citation
MATHEMATISCHE ZEITSCHRIFT vol. 303, no. 2
Keywords
Quantum Cartan matrixDynkin quiverQ-dataCluster algebraQuantum affine algebra
Publisher
SPRINGER HEIDELBERG
Indexed
SCIE; SCOPUS WOS 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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