Linear Laurent phenomenon algebras

Thomas Lam, Pavlo Pylyavskyy

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In [7], we introduced Laurent phenomenon algebras, a generalization of cluster algebras. Here we give an explicit description of Laurent phenomenon algebras with a linear initial seed arising from a graph. In particular, any graph associahedron is shown to be the dual cluster complex for some Laurent phenomenon algebra.

Original languageEnglish (US)
Pages (from-to)3163-3203
Number of pages41
JournalInternational Mathematics Research Notices
Volume2016
Issue number10
DOIs
StatePublished - 2016

Bibliographical note

Publisher Copyright:
© The Author(s) 2015. Published by Oxford University Press.

Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.

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