数学科学系

Department of Mathematical Sciences

Cellular algebras an tilting modules for quantum sl2

报告题目Cellular algebras an tilting modules for quantum sl2

 

报告人G. Lehrer教授 (悉尼大学)

 

时间201366(星期四)1000-1100

 

地点:理科楼数学系A404

 

摘要Let _e A(d) be the simple module with highest weight d of Ue A, an integral form of quantum sl2, where e A is a suitable localisation of the ring A = Z[q_12 ]. We exhibit for all positive integers r an explicit cellular structure for EndU eA(_ e A(d)r), through a description of this endomorphism algebra by dia-grams. When _ is a root of unity of order bigger than d we consider the spe-cialisation __(d)r at q 7! _ of _e A(d)r. Using some general results concerning representations, we connect the decompositions numbers of EndU_(__(d)r) with the weights of the tilting modules for quantum sl2 at q = _. This is joint work with Henning Andersen and Ruibin Zhang.

 

联系人:张贺春