Date: Friday, March 22, 2013
Location: 3866 East Hall (4:10 PM to 5:00 PM)
Title: Type A molecules are of KazhdanLusztig type
Abstract: Let (W, S) be a Coxeter system. A Wgraph is an encoding of a representation of the corresponding IwahoriHecke algebra. Especially important examples include the Wgraph corresponding to the action of the IwahoriHecke algebra on the KazhdanLusztig basis as well as this graph's strongly connected components (cells). In 2008, Stembridge identified some common features of the KazhdanLusztig graphs and gave a combinatorial characterization of all Wgraphs that have these features. He conjectured, and checked up to n = 9, that all such A_ncells are of KazhdanLusztig type. In this talk I will discuss a possible first step toward the proof of the conjecture. More concretely, I will describe why the connected subgraphs of A_ncells consisting of "simple" (i.e. directed both ways) edges are of KazhdanLusztig type.
Files:
Speaker: Michael Chmutov
Institution: University of Michigan
Event Organizer: Sergey Fomin
