JournalsjcaVol. 6, No. 1/2pp. 45–78

Maximal green sequences for string algebras

  • Alexander Garver

    Carleton College, Northfield, USA

  • Khrystyna Serhiyenko

    University of Kentucky, Lexington, USA
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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.

Cite this article

Alexander Garver, Khrystyna Serhiyenko, Maximal green sequences for string algebras. J. Comb. Algebra 6 (2022), no. 1/2, pp. 45–78

DOI 10.4171/JCA/60