|Speaker:||Masaki Mori (U Tokyo)|
|Title:||Cellular structure on the Hecke-Clifford superalgebras|
|Date (JST):||Tue, Jul 02, 2013, 13:15 - 14:45|
|Place:||Seminar Room A|
The Hecke-Clifford superalgebras are super-analogues of the Iwahori-Hecke algebras of type A. Their irreducible representations are classified by Brundan-Kleshchev and Tsuchioka using the categorification of quantum groups of affine type. In this talk, we give another way to construct them by the help of ``cellular structure'' of the superalgebras.
This method generalizes the theory of cellular algebras introduced by Graham-Lehrer.