A pre-projective part of tilting quivers of certain path algebras

2012/12/03 by Kase, Ryoichi
#FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1212.0359

Abstract

D.Happel and L.Unger defined a partial order on the set of basic tilting modules. We study the poset of basic pre-projective tilting modules over path algebra of infinite type. First we will give a criterion for Ext-vanishing for pre-projective modules. And by using this we will give a combinatorial characterization of the poset of basic pre-projective tilting modules. Finally we will see a structure of a pre-projective part of tilting quivers.

Related

• Taking tilting modules from the poset of support tilting modules
• The number of arrows in the quiver of tilting modules over a path algebra of type A and D
• Distributive lattices and the poset of pre-projective tilting modules
• Universal derived equivalences of posets of tilting modules
• Quivers for SL(2) tilting modules