The Grothendieck groups of n-cluster categories of type A∞

In this paper, we investigate the Grothendieck groups [Formula: see text] of [Formula: see text]-cluster categories [Formula: see text] of type [Formula: see text] introduced by Holm and Jørgensen. We prove that [Formula: see text] for an arbitrary [Formula: see text]. As an application, this generalizes a result of Murphy for [Formula: see text].

Authors

Institutions

Publication Details

Journal
Journal of Algebra and Its Applications
Published
2026-06-16
DOI
https://doi.org/10.1142/s0219498827502525
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

The Grothendieck groups of n-cluster categories of type A∞

Huimin Chang
Journal of Algebra and Its Applications
Homotopy and Cohomology in Algebraic Topology
article

The Grothendieck groups of n-cluster categories of type A∞

Huimin Chang
article en

Abstract

In this paper, we investigate the Grothendieck groups [Formula: see text] of [Formula: see text]-cluster categories [Formula: see text] of type [Formula: see text] introduced by Holm and Jørgensen. We prove that [Formula: see text] for an arbitrary [Formula: see text]. As an application, this generalizes a result of Murphy for [Formula: see text].

Journal of Algebra and Its Applications
Open University of China (CN), Beijing Open University (CN)
Peace, Justice and strong institutions
Openalex Percentile: Top 3%
Homotopy and Cohomology in Algebraic Topology
DOISourceOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.