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.
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- maximal green sequence
- Quiver representation
- string algebra
ASJC Scopus subject areas
- Algebra and Number Theory
- Discrete Mathematics and Combinatorics