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

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.

11pages, to appear in Algebr. Represent. Theory

Cited by in corpus (3)

• Thick subcategories of finite algebraic triangulated categories
• Some dendriform functors
• A braid group action on parking functions