The Grothendieck groups of discrete cluster categories of Dynkin type A∞
Year: 2024
Type: article
Abstract: 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.
Source: Journal of Algebra
Author: Dave Murphy
Institution: University of Glasgow
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,140
OpenAlex ID: W4402044132