Speaker：Jun Hu (Beijing Institute of Technology)

Time：2020-11-02, 10:00

Location：Conference Room 105 at Experiment Building at Haiyun Campus

Abstract: In this talk, we first discuss a criterion for the validity of the double centralizer property with respect to a tilting module over a standardly stratified algebra $A$.  We affirmatively answer a question of Stroppel and Mazorchuk by proving the existence of a unique minimal basic tilting module $T$ over $A$ for which $A=\End_{\End_A(T)}(T)$，where $A$ is a quasi-hereditary algebra with a simple-preserving duality. Finally we apply the results to study the Brauer-Schur-Weyl duality on the dual partially harmonic spaces.