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

Tokuji Araya

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

Representation Theory 2011-08-15 v2

Authors: Tokuji Araya

Abstract

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.

Keywords

exceptional sequences path algebra Dynkin quiver non-crossing spanning trees derived categories

Cite

@article{arxiv.0904.2831,
  title  = {Exceptional Sequences over path algebras of type $A_n$ and Non-crossing Spanning Trees},
  author = {Tokuji Araya},
  journal= {arXiv preprint arXiv:0904.2831},
  year   = {2011}
}

Comments

11pages, to appear in Algebr. Represent. Theory

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