Tuesday, August 27, 14:00, 7.527
Qunhua Liu (Nanjing Normal University)
A dichotomy of algebras with two simples.
By a work of Cline, Parshall and Scott, the derived module category of a quasi-hereditary
algebra admits a stratification filtered by vector spaces. We provide a positive answer to the converse
question for algebras with two simples, namely, the existence of such a stratification of the derived
module category implies the quasi-heredity of the algebra, up to derived equivalence. As a consequence,
an algebra with two simples is either derived simple or derived equivalent to a quasi-hereditary
algebra. This is a joint work with Dong Yang.