Maximal green sequences for string algebras

Alexander Garver; Khrystyna Serhiyenko

doi:10.4171/JCA/60

Maximal green sequences for string algebras

Alexander Garver, Khrystyna Serhiyenko

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	45-78
Number of pages	34
Journal	Journal of Combinatorial Algebra
Volume	6
Issue number	1
DOIs	https://doi.org/10.4171/JCA/60
State	Published - 2022

Bibliographical note

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

Keywords

Quiver representation
maximal green sequence
string algebra

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

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10.4171/JCA/60

Cite this

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Maximal green sequences for string algebras

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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