Seminar | Institute of Mathematical Sciences
Time：10:00-11:00, April 24, Wednesday
Location：Room 302, Library
Speaker: Junbin Dong, Tongji University
Abstract: We introduce the principal representation category of reductive groups with Frobenius maps and show that this category is a highest weight category when the ground field is complex field. We also generalize Alvis-Curtis duality to abstract representations of reductive groups with Frobenius maps. Analogous to the case of representations of finite reductive groups, we show that the Alvis-Curtis duality of infinite type also interchanges irreducible representations.