3 papers
math.RT2019
Two-term tilting complexes for preprojective algebras of non-Dynkin type
Yuta Kimura, Yuya Mizuno
In this paper, we study two-term tilting complexes for preprojective algebras of non-Dynkin type. We show that there exist two families of two-term tilting complexes, which are res…
math.RT2019
Simplicial complexes and tilting theory for Brauer tree algebras
Hideto Asashiba, Yuya Mizuno, Ken Nakashima
We study 2-term tilting complexes of Brauer tree algebras in terms of simplicial complexes. We show the symmetry and convexity of the simplicial complexes as lattice polytopes. Via…
math.RT2018
Torsion pairs for quivers and the Weyl groups
Yuya Mizuno, Hugh Thomas
We give an interpretation of the map defined by Reading, which is a map from the elements of a Coxeter group to the -sortable elements, in terms of the representation theo…