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.
| Original language | English |
|---|---|
| Article number | 42 |
| Journal | Mathematische Zeitschrift |
| Volume | 303 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 2023 |
Bibliographical note
Publisher Copyright:© 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
Keywords
- Cluster algebra
- Dynkin quiver
- Q-data
- Quantum Cartan matrix
- Quantum affine algebra