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  • Tuesday, August 27, 14:00, 7.527

    Qunhua Liu (Nanjing Normal University)
    A dichotomy of algebras with two simples.

  • Abstract:
    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.