Maximal green sequences for string algebras

Alexander Garver, Khrystyna Serhiyenko

Research output: Contribution to journalArticlepeer-review

Abstract

Maximal green sequences are important objects in representation theory, cluster algebras, and string theory. The two fundamental questions about maximal green sequences are whether a given algebra admits such sequences and, if so, does it admit only finitely many. We study maximal green sequences in the case of string algebras and give sufficient conditions on the algebra that ensure an affirmative answer to these questions.

Original languageEnglish
Pages (from-to)45-78
Number of pages34
JournalJournal of Combinatorial Algebra
Volume6
Issue number1
DOIs
StatePublished - 2022

Bibliographical note

Publisher Copyright:
© 2022 Journal of Combinatorial Algebra. All rights reserved.

Keywords

  • maximal green sequence
  • Quiver representation
  • string algebra

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics

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