Exceptional Sequences over path algebras of type A_n and Non-crossing Spanning Trees
classification
🧮 math.RT
keywords
exceptionalsequencesalgebrasnon-crossingpathspanningtreestype
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Exceptional sequences are fundamental to investigate the derived categories of finite dimensional algebras. The aim of this note is to classify all the complete exceptional sequences over the path algebra of a Dynkin quiver of type $A_n$ in terms of non-crossing spanning trees.
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