University of Sydney Algebra Seminar

Van Minh Nguyen (University of Sydney)

Friday 12 October, 12-1pm, Place: Carslaw 375

Type A-admissible cells are Kazhdan-Lusztig

This talk is based on recent preprint: Type A-admissible cells are Kazhdan-Lusztig. Specifically, I will show that in type A, admissible cells are isomorphic to Kazhdan-Lusztig left cells, as conjectured by Stembridge in Admissible W-graphs (Representation Theory 12 (2008)). I will also explain how some details of the proof provide us with an effective algorithm to compute W-graphs for left cells.