论文标题
字符串代数的最大绿色序列
Maximal green sequences for string algebras
论文作者
论文摘要
最大绿色序列是表示理论，集群代数和弦理论中的重要对象。关于最大绿色序列的两个基本问题是给定代数是否承认此类序列，如果是的，则它仅承认有限的序列。我们研究字符串代数的最大绿色序列，并在代数上提供足够的条件，以确保对这些问题的肯定答案。
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.
