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math.CO2022
The higher Stasheff--Tamari orders in representation theory
Nicholas J. Williams
We show that the relationship discovered by Oppermann and Thomas between triangulations of cyclic polytopes and the higher Auslander algebras of type , denoted , is a…
math.RT2022
Stability spaces of string and band modules
Sibylle Schroll, Aran Tattar, Hipolito Treffinger +2
The stability space of a module is the cone of vectors which make the module semistable. These cones are defined in terms of inequalities; in this paper we draw insights from consi…
math.RT2022★ 1 cited
Triangulations of prisms and preprojective algebras of type
Osamu Iyama, Nicholas J. Williams
We show that indecomposable two-term presilting complexes over , the preprojective algebra of , are in bijection with internal -simplices in the prism $Δ_{n} \time…