Exceptional Sequences over path algebras of type $A_n$ and Non-crossing Spanning Trees

preprint2011arXivOpen access

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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Exceptional Sequences over path algebras of type $A_n$ and Non-crossing Spanning Trees

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Exceptional Sequences over path algebras of type AnA_nAn​ and Non-crossing Spanning Trees

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Exceptional Sequences over path algebras of type $A_n$ and Non-crossing Spanning Trees