Tilting modules, dominant dimensions and Brauer-Schur-Weyl duality

摘要： 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 then apply the criterion to the case when $A$ is quasi-hereditary with a simple preserving duality. 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 $A=\End_{\End_A(T)}(T)$. Finally we apply the results to study the Brauer-Schur-Weyl duality on the dual partially harmonic spaces.

联系人：李方老师fangli@zju.edu.cn