Tropical coefficient dynamics for higher-dimensional cluster categories

We show that the index in higher-dimensional cluster categories mutates according to a higher-dimensional version of tropical coefficient dynamics.

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Publication Details

Journal
Annals of representation theory
Published
2026-01-09
DOI
https://doi.org/10.5802/art.33
Primary Topic
Algebraic structures and combinatorial models
Type
article
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article

Tropical coefficient dynamics for higher-dimensional cluster categories

Steffen Oppermann, Hugh Thomas
Annals of representation theory
Algebraic structures and combinatorial models
article

Tropical coefficient dynamics for higher-dimensional cluster categories

Steffen Oppermann, Hugh Thomas
article en

Abstract

We show that the index in higher-dimensional cluster categories mutates according to a higher-dimensional version of tropical coefficient dynamics.

Annals of representation theoryVol. 3(1)
Université du Québec à Montréal (CA), Norwegian University of Science and Technology (NO), Department of Mathematical Sciences (RU)
Climate action
Openalex Percentile: Top 88%
Algebraic structures and combinatorial models
DOIOpen Access PDFOpenAlex
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Tropical coefficient dynamics for higher-dimensional cluster categories — Steffen Oppermann, Hugh Thomas · Annals of representation theory (2026) | TGRS Research Map | TGRS