The Grothendieck groups of discrete cluster categories of Dynkin type A∞
In this work we compute the triangulated Grothendieck groups for each of the family of discrete cluster categories of Dynkin type A ∞ as introduced by Holm-Jørgensen. Subsequently, we also compute the Grothendieck group of a completion of these discrete cluster categories in the sense of Paquette-Yildirim.
Authors
- Dave Murphy
Institutions
- University of Glasgow (GB)
Publication Details
- Journal
- Journal of Algebra
- Published
- 2024-08-30
- DOI
- https://doi.org/10.1016/j.jalgebra.2024.08.019
- Citations
- 2
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 2.02