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A generalized quantum cluster algebra of Kronecker type.
- Source :
-
Electronic Research Archive . 2024, Vol. 32 Issue 1, p1-16. 16p. - Publication Year :
- 2024
-
Abstract
- The notion of generalized quantum cluster algebras was introduced as a natural generalization of Berenstein and Zelevinsky's quantum cluster algebras as well as Chekhov and Shapiro's generalized cluster algebras. In this paper, we focus on a generalized quantum cluster algebra of Kronecker type which possesses infinitely many cluster variables. We obtain the cluster multiplication formulas for this algebra. As an application of these formulas, a positive bar-invariant basis is explicitly constructed. Both results generalize those known for the Kronecker cluster algebra and quantum cluster algebra. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CLUSTER algebras
*COMMUTATIVE algebra
*ALGEBRA
*MATHEMATICS
*EDUCATION
Subjects
Details
- Language :
- English
- ISSN :
- 26881594
- Volume :
- 32
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Electronic Research Archive
- Publication Type :
- Academic Journal
- Accession number :
- 178380242
- Full Text :
- https://doi.org/10.3934/era.2024032