Colloquium
DATE	2020-03-26　16:10-17:00
PLACE	數學館3174教室
SPEAKER	向子卿博士（中央研究院數學研究所）
TITLE	On q-Schur Algebras of Classical Type
ABSTRACT	In this talk, I will present a coordinate algebra type construction of q-Schur algebras of classical type. These q-Schur algebras are realized as the duals of the graded components of certain graded coalgebras. Under suitable conditions, an isomorphism theorem is proved that demonstrates that the representation theory for the q-Schur algebras of type B reduces to the q-Schur algebras of type A. This enables us to address the questions of cellularity, quasi-hereditariness and representation type of the q-Schur algebras of type B. I will also discuss possible approaches to the representation theory for the q-Schur algebras of type D. This is joint work with Chun-Ju Lai and Daniel K. Nakano.