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

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

2009-04-18

arxiv.org/abs/0904.2831v2

Mathematics

Representation Theory

11pages, to appear in Algebr. Represent. Theory

Scientific paper

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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