2 papers
math.RT2025
Total preprojective algebras
Aaron Chan, Osamu Iyama, Rene Marczinzik
We introduce total preprojective algebras of path algebras of Dynkin quivers , and prove that they are isomorphic to -Auslander algebras of preprojective algebras …
math.RT2025
Tilting theoretic approach to quasi-hereditary structures
Takahide Adachi, Aaron Chan, Yuta Kimura +1
A quasi-hereditary algebra is an algebra equipped with a certain partial order on its simple modules. Such a partial order -- called a quasi-hereditary structure -- gives…