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Acyclic quantum cluster algebras via Hall algebras of morphisms.
- Source :
- Mathematische Zeitschrift; Dec2020, Vol. 296 Issue 3/4, p945-968, 24p
- Publication Year :
- 2020
-
Abstract
- Let A be the path algebra of a finite acyclic quiver Q over a finite field. We realize the quantum cluster algebra with principal coefficients associated to Q as a sub-quotient of a certain Hall algebra involving the category of morphisms between projective A-modules. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00255874
- Volume :
- 296
- Issue :
- 3/4
- Database :
- Complementary Index
- Journal :
- Mathematische Zeitschrift
- Publication Type :
- Academic Journal
- Accession number :
- 146321461
- Full Text :
- https://doi.org/10.1007/s00209-020-02465-0